11146626164016 has 240 divisors, whose sum is σ = 36808912078848. Its totient is φ = 3081400704000.

The previous prime is 11146626163973. The next prime is 11146626164039. The reversal of 11146626164016 is 61046162664111.

11146626164016 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 6 + 626 + 1 + 6 + 4 + 0 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169237491 + ... + 169303341.

Almost surely, 2^{11146626164016} is an apocalyptic number.

11146626164016 is a gapful number since it is divisible by the number (16) 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 11146626164016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18404456039424).

11146626164016 is an abundant number, since it is smaller than the sum of its proper divisors (25662285914832).

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

11146626164016 is a wasteful number, since it uses less digits than its factorization.

11146626164016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71320 (or 71311 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11146626164016 in words is "eleven trillion, one hundred forty-six billion, six hundred twenty-six million, one hundred sixty-four thousand, sixteen".