11296677529152 has 336 divisors, whose sum is σ = 33776938645632. Its totient is φ = 3606605291520.

The previous prime is 11296677529141. The next prime is 11296677529153. The reversal of 11296677529152 is 25192577669211.

It is a happy number.

11296677529152 is a `hidden beast` number, since 1 + 1 + 2 + 96 + 6 + 7 + 7 + 529 + 15 + 2 = 666.

It is a super-2 number, since 2×11296677529152² (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 11296677529152.

It is not an unprimeable number, because it can be changed into a prime (11296677529153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497048413 + ... + 497071139.

It is an arithmetic number, because the mean of its divisors is an integer number (100526603112).

Almost surely, 2^{11296677529152} is an apocalyptic number.

11296677529152 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 11296677529152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16888469322816).

11296677529152 is an abundant number, since it is smaller than the sum of its proper divisors (22480261116480).

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

11296677529152 is a wasteful number, since it uses less digits than its factorization.

11296677529152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23146 (or 23133 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 63.

The spelling of 11296677529152 in words is "eleven trillion, two hundred ninety-six billion, six hundred seventy-seven million, five hundred twenty-nine thousand, one hundred fifty-two".