311249473920 has 1152 divisors, whose sum is σ = 1411357802400. Its totient is φ = 62426972160.

The previous prime is 311249473867. The next prime is 311249473933. The reversal of 311249473920 is 29374942113.

311249473920 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 494 + 73 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90032832 + ... + 90036288.

Almost surely, 2^311249473920 is an apocalyptic number.

311249473920 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 311249473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705678901200).

311249473920 is an abundant number, since it is smaller than the sum of its proper divisors (1100108328480).

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

311249473920 is a wasteful number, since it uses less digits than its factorization.

311249473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 311249473920 in words is "three hundred eleven billion, two hundred forty-nine million, four hundred seventy-three thousand, nine hundred twenty".