10612975772448 has 144 divisors (see below), whose sum is σ = 34494849357696. Its totient is φ = 3032043356160.

The previous prime is 10612975772431. The next prime is 10612975772453. The reversal of 10612975772448 is 84427757921601.

10612975772448 is a `hidden beast` number, since 1 + 0 + 6 + 12 + 9 + 7 + 577 + 2 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10612975772448² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26641293 + ... + 27036723.

It is an arithmetic number, because the mean of its divisors is an integer number (239547564984).

Almost surely, 2^{10612975772448} is an apocalyptic number.

10612975772448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10612975772448 is an abundant number, since it is smaller than the sum of its proper divisors (23881873585248).

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

10612975772448 is a wasteful number, since it uses less digits than its factorization.

10612975772448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408767 (or 408756 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 10612975772448 in words is "ten trillion, six hundred twelve billion, nine hundred seventy-five million, seven hundred seventy-two thousand, four hundred forty-eight".