1056451476096 has 160 divisors (see below), whose sum is σ = 3151682123700. Its totient is φ = 351288078336.

The previous prime is 1056451476053. The next prime is 1056451476103. The reversal of 1056451476096 is 6906741546501.

1056451476096 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 451 + 47 + 60 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 831525134400 + 224926341696 = 911880^2 + 474264^2 .

It is a super-2 number, since 2×1056451476096² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4115946 + ... + 4365078.

Almost surely, 2^{1056451476096} is an apocalyptic number.

1056451476096 is a gapful number since it is divisible by the number (16) 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 1056451476096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575841061850).

1056451476096 is an abundant number, since it is smaller than the sum of its proper divisors (2095230647604).

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

1056451476096 is an equidigital number, since it uses as much as digits as its factorization.

1056451476096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249568 (or 249547 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1056451476096 in words is "one trillion, fifty-six billion, four hundred fifty-one million, four hundred seventy-six thousand, ninety-six".