31371348074976 has 288 divisors, whose sum is σ = 110190490458048. Its totient is φ = 8244316200960.

The previous prime is 31371348074951. The next prime is 31371348075031. The reversal of 31371348074976 is 67947084317313.

31371348074976 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 13 + 480 + 74 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×31371348074976² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5234530 + ... + 9494366.

It is an arithmetic number, because the mean of its divisors is an integer number (382605869646).

Almost surely, 2^{31371348074976} is an apocalyptic number.

31371348074976 is a gapful number since it is divisible by the number (36) 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 31371348074976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55095245229024).

31371348074976 is an abundant number, since it is smaller than the sum of its proper divisors (78819142383072).

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

31371348074976 is a wasteful number, since it uses less digits than its factorization.

31371348074976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260154 (or 4260143 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 31371348074976 in words is "thirty-one trillion, three hundred seventy-one billion, three hundred forty-eight million, seventy-four thousand, nine hundred seventy-six".