11351112415032 has 128 divisors (see below), whose sum is σ = 31094359430400. Its totient is φ = 3431718669312.

The previous prime is 11351112414991. The next prime is 11351112415061. The reversal of 11351112415032 is 23051421115311.

11351112415032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11351112415032² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36532443 + ... + 36841845.

It is an arithmetic number, because the mean of its divisors is an integer number (242924683050).

Almost surely, 2^{11351112415032} is an apocalyptic number.

11351112415032 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 11351112415032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15547179715200).

11351112415032 is an abundant number, since it is smaller than the sum of its proper divisors (19743247015368).

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

11351112415032 is a wasteful number, since it uses less digits than its factorization.

11351112415032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311477 (or 311473 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 11351112415032 in words is "eleven trillion, three hundred fifty-one billion, one hundred twelve million, four hundred fifteen thousand, thirty-two".