11152541406432 has 96 divisors (see below), whose sum is σ = 29647599367680. Its totient is φ = 3670258176000.

The previous prime is 11152541406401. The next prime is 11152541406437. The reversal of 11152541406432 is 23460414525111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11152541406432² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11152541406437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221814448 + ... + 221864720.

It is an arithmetic number, because the mean of its divisors is an integer number (308829160080).

Almost surely, 2^{11152541406432} is an apocalyptic number.

11152541406432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11152541406432 is an abundant number, since it is smaller than the sum of its proper divisors (18495057961248).

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

11152541406432 is a wasteful number, since it uses less digits than its factorization.

11152541406432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79616 (or 79608 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 11152541406432 in words is "eleven trillion, one hundred fifty-two billion, five hundred forty-one million, four hundred six thousand, four hundred thirty-two".