11162906664 has 512 divisors, whose sum is σ = 37933056000. Its totient is φ = 2656862208.

The previous prime is 11162906647. The next prime is 11162906723. The reversal of 11162906664 is 46660926111.

It is a super-2 number, since 2×11162906664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115081464 + ... + 115081560.

It is an arithmetic number, because the mean of its divisors is an integer number (74088000).

Almost surely, 2^11162906664 is an apocalyptic number.

11162906664 is a gapful number since it is divisible by the number (14) 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 11162906664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18966528000).

11162906664 is an abundant number, since it is smaller than the sum of its proper divisors (26770149336).

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

11162906664 is a wasteful number, since it uses less digits than its factorization.

11162906664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 11162906664 in words is "eleven billion, one hundred sixty-two million, nine hundred six thousand, six hundred sixty-four".