312049048615920 has 2880 divisors, whose sum is σ = 1441587348504576. Its totient is φ = 60931564001280.

The previous prime is 312049048615897. The next prime is 312049048615933. The reversal of 312049048615920 is 29516840940213.

It is a happy number.

312049048615920 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 4 + 9 + 0 + 48 + 6 + 1 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 68627455087 + ... + 68627459633.

Almost surely, 2^{312049048615920} is an apocalyptic number.

312049048615920 is a gapful number since it is divisible by the number (30) 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 312049048615920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720793674252288).

312049048615920 is an abundant number, since it is smaller than the sum of its proper divisors (1129538299888656).

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

312049048615920 is a wasteful number, since it uses less digits than its factorization.

312049048615920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 312049048615920 in words is "three hundred twelve trillion, forty-nine billion, forty-eight million, six hundred fifteen thousand, nine hundred twenty".