2153337308832 has 96 divisors (see below), whose sum is σ = 5668880817600. Its totient is φ = 715701547008.

The previous prime is 2153337308777. The next prime is 2153337308833. The reversal of 2153337308832 is 2388037333512.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×2153337308832⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2153337308833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145223403 + ... + 145238229.

It is an arithmetic number, because the mean of its divisors is an integer number (59050841850).

Almost surely, 2^{2153337308832} is an apocalyptic number.

It is an amenable number.

2153337308832 is an abundant number, since it is smaller than the sum of its proper divisors (3515543508768).

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

2153337308832 is a wasteful number, since it uses less digits than its factorization.

2153337308832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19118 (or 19110 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 2153337308832 in words is "two trillion, one hundred fifty-three billion, three hundred thirty-seven million, three hundred eight thousand, eight hundred thirty-two".