2153623502664 has 128 divisors (see below), whose sum is σ = 6162437232000. Its totient is φ = 696452198400.

The previous prime is 2153623502617. The next prime is 2153623502689. The reversal of 2153623502664 is 4662053263512.

2153623502664 is a `hidden beast` number, since 2 + 1 + 5 + 36 + 2 + 350 + 266 + 4 = 666.

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, 905944 + ... + 2264504.

It is an arithmetic number, because the mean of its divisors is an integer number (48144040875).

Almost surely, 2^{2153623502664} is an apocalyptic number.

2153623502664 is a gapful number since it is divisible by the number (24) 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 2153623502664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081218616000).

2153623502664 is an abundant number, since it is smaller than the sum of its proper divisors (4008813729336).

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

2153623502664 is a wasteful number, since it uses less digits than its factorization.

2153623502664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358796 (or 1358786 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 2153623502664 in words is "two trillion, one hundred fifty-three billion, six hundred twenty-three million, five hundred two thousand, six hundred sixty-four".