31144066645200 has 120 divisors (see below), whose sum is σ = 101253854347488. Its totient is φ = 8181127933440.

The previous prime is 31144066645121. The next prime is 31144066645259. The reversal of 31144066645200 is 254666044113.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193601607 + ... + 193762406.

Almost surely, 2^{31144066645200} is an apocalyptic number.

31144066645200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31144066645200 is an abundant number, since it is smaller than the sum of its proper divisors (70109787702288).

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

31144066645200 is a wasteful number, since it uses less digits than its factorization.

31144066645200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387364101 (or 387364090 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 31144066645200 in words is "thirty-one trillion, one hundred forty-four billion, sixty-six million, six hundred forty-five thousand, two hundred".