1361086464 has 96 divisors (see below), whose sum is σ = 3754296000. Its totient is φ = 437993472.

The previous prime is 1361086459. The next prime is 1361086483. The reversal of 1361086464 is 4646801631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1361086464³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174357 + ... + 181995.

It is an arithmetic number, because the mean of its divisors is an integer number (39107250).

Almost surely, 2^1361086464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877148000).

1361086464 is an abundant number, since it is smaller than the sum of its proper divisors (2393209536).

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

1361086464 is an equidigital number, since it uses as much as digits as its factorization.

1361086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1361086464 is about 36892.9053342238. The cubic root of 1361086464 is about 1108.2266041585.

The spelling of 1361086464 in words is "one billion, three hundred sixty-one million, eighty-six thousand, four hundred sixty-four".