31314487680 has 1024 divisors, whose sum is σ = 133954560000. Its totient is φ = 6762921984.

The previous prime is 31314487667. The next prime is 31314487691. The reversal of 31314487680 is 8678441313.

31314487680 is a `hidden beast` number, since 3 + 131 + 448 + 76 + 8 + 0 = 666.

It is a Cunningham number, because it is equal to 176959²-1.

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 127 ways as a sum of consecutive naturals, for example, 277119304 + ... + 277119416.

It is an arithmetic number, because the mean of its divisors is an integer number (130815000).

Almost surely, 2^31314487680 is an apocalyptic number.

31314487680 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 31314487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66977280000).

31314487680 is an abundant number, since it is smaller than the sum of its proper divisors (102640072320).

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

31314487680 is a wasteful number, since it uses less digits than its factorization.

31314487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 31314487680 in words is "thirty-one billion, three hundred fourteen million, four hundred eighty-seven thousand, six hundred eighty".