1616113296000 has 2304 divisors, whose sum is σ = 7428198960000. Its totient is φ = 346971340800.

The previous prime is 1616113295957. The next prime is 1616113296041. The reversal of 1616113296000 is 6923116161.

1616113296000 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 11 + 32 + 9 + 600 + 0 = 666.

It is a super-2 number, since 2×1616113296000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3238703751 + ... + 3238704249.

Almost surely, 2^{1616113296000} is an apocalyptic number.

1616113296000 is a gapful number since it is divisible by the number (10) 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 1616113296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714099480000).

1616113296000 is an abundant number, since it is smaller than the sum of its proper divisors (5812085664000).

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

1616113296000 is an equidigital number, since it uses as much as digits as its factorization.

1616113296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 1616113296000 in words is "one trillion, six hundred sixteen billion, one hundred thirteen million, two hundred ninety-six thousand".