10214465957152 has 48 divisors (see below), whose sum is σ = 21293191052280. Its totient is φ = 4806686527488.

The previous prime is 10214465957149. The next prime is 10214465957177. The reversal of 10214465957152 is 25175956441201.

It can be written as a sum of positive squares in 4 ways, for example, as 9440354570256 + 774111386896 = 3072516^2 + 879836^2 .

It is a super-2 number, since 2×10214465957152² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10214465957152.

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, 23606818 + ... + 24035614.

Almost surely, 2^{10214465957152} is an apocalyptic number.

It is an amenable number.

10214465957152 is an abundant number, since it is smaller than the sum of its proper divisors (11078725095128).

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

10214465957152 is a wasteful number, since it uses less digits than its factorization.

10214465957152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472613 (or 472605 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 10214465957152 in words is "ten trillion, two hundred fourteen billion, four hundred sixty-five million, nine hundred fifty-seven thousand, one hundred fifty-two".