351367656696 has 288 divisors, whose sum is σ = 1173079234080. Its totient is φ = 94406860800.

The previous prime is 351367656691. The next prime is 351367656779. The reversal of 351367656696 is 696656763153.

It is a happy number.

351367656696 is a `hidden beast` number, since 3 + 5 + 1 + 3 + 67 + 6 + 566 + 9 + 6 = 666.

It is a super-4 number, since 4×351367656696⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351367656691) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129606781 + ... + 129609491.

It is an arithmetic number, because the mean of its divisors is an integer number (4073191785).

Almost surely, 2^351367656696 is an apocalyptic number.

351367656696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351367656696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586539617040).

351367656696 is an abundant number, since it is smaller than the sum of its proper divisors (821711577384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

351367656696 is a wasteful number, since it uses less digits than its factorization.

351367656696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4901 counting only the distinct ones).

The product of its digits is 110224800, while the sum is 63.

The spelling of 351367656696 in words is "three hundred fifty-one billion, three hundred sixty-seven million, six hundred fifty-six thousand, six hundred ninety-six".