10945772497152 has 576 divisors, whose sum is σ = 33914848593920. Its totient is φ = 3521550090240.

The previous prime is 10945772497141. The next prime is 10945772497169. The reversal of 10945772497152 is 25179427754901.

10945772497152 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 577 + 2 + 4 + 9 + 7 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10945772497152² (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 10945772497152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10014429918 + ... + 10014431010.

Almost surely, 2^{10945772497152} is an apocalyptic number.

10945772497152 is a gapful number since it is divisible by the number (12) 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 10945772497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16957424296960).

10945772497152 is an abundant number, since it is smaller than the sum of its proper divisors (22969076096768).

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

10945772497152 is an frugal number, since it uses more digits than its factorization.

10945772497152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 10945772497152 in words is "ten trillion, nine hundred forty-five billion, seven hundred seventy-two million, four hundred ninety-seven thousand, one hundred fifty-two".