11106932958264 has 512 divisors, whose sum is σ = 36668878848000. Its totient is φ = 2750136883200.

The previous prime is 11106932958257. The next prime is 11106932958269. The reversal of 11106932958264 is 46285923960111.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106932958269) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58527259 + ... + 58716725.

It is an arithmetic number, because the mean of its divisors is an integer number (71618904000).

Almost surely, 2^{11106932958264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11106932958264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18334439424000).

11106932958264 is an abundant number, since it is smaller than the sum of its proper divisors (25561945889736).

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

11106932958264 is a wasteful number, since it uses less digits than its factorization.

11106932958264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189579 (or 189575 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 11106932958264 in words is "eleven trillion, one hundred six billion, nine hundred thirty-two million, nine hundred fifty-eight thousand, two hundred sixty-four".