10156493664 has 96 divisors (see below), whose sum is σ = 29644030080. Its totient is φ = 3383107200.

The previous prime is 10156493639. The next prime is 10156493671. The reversal of 10156493664 is 46639465101.

10156493664 is a `hidden beast` number, since 1 + 0 + 156 + 493 + 6 + 6 + 4 = 666.

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

It is a super-3 number, since 3×10156493664³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1561459 + ... + 1567949.

It is an arithmetic number, because the mean of its divisors is an integer number (308791980).

Almost surely, 2^10156493664 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 10156493664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14822015040).

10156493664 is an abundant number, since it is smaller than the sum of its proper divisors (19487536416).

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

10156493664 is a wasteful number, since it uses less digits than its factorization.

10156493664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8321 (or 8307 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10156493664 in words is "ten billion, one hundred fifty-six million, four hundred ninety-three thousand, six hundred sixty-four".