31134896432640 has 3200 divisors, whose sum is σ = 152243345802240. Its totient is φ = 5871638937600.

The previous prime is 31134896432621. The next prime is 31134896432659. The reversal of 31134896432640 is 4623469843113.

31134896432640 is a `hidden beast` number, since 3 + 1 + 13 + 489 + 64 + 32 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31134896432621) and next prime (31134896432659).

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 319 ways as a sum of consecutive naturals, for example, 12661607731 + ... + 12661610189.

Almost surely, 2^{31134896432640} is an apocalyptic number.

31134896432640 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 31134896432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76121672901120).

31134896432640 is an abundant number, since it is smaller than the sum of its proper divisors (121108449369600).

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

31134896432640 is a wasteful number, since it uses less digits than its factorization.

31134896432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 31134896432640 in words is "thirty-one trillion, one hundred thirty-four billion, eight hundred ninety-six million, four hundred thirty-two thousand, six hundred forty".