31146853920 has 1152 divisors, whose sum is σ = 132511002624. Its totient is φ = 6080126976.

The previous prime is 31146853901. The next prime is 31146853979. The reversal of 31146853920 is 2935864113.

It is a super-2 number, since 2×31146853920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 302396589 + ... + 302396691.

It is an arithmetic number, because the mean of its divisors is an integer number (115026912).

Almost surely, 2^31146853920 is an apocalyptic number.

31146853920 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 31146853920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66255501312).

31146853920 is an abundant number, since it is smaller than the sum of its proper divisors (101364148704).

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

31146853920 is a wasteful number, since it uses less digits than its factorization.

31146853920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 31146853920 in words is "thirty-one billion, one hundred forty-six million, eight hundred fifty-three thousand, nine hundred twenty".