31973803045632 has 1728 divisors, whose sum is σ = 118325897625600. Its totient is φ = 8472510627840.

The previous prime is 31973803045621. The next prime is 31973803045643. The reversal of 31973803045632 is 23654030837913.

31973803045632 is a `hidden beast` number, since 3 + 1 + 9 + 73 + 8 + 0 + 3 + 0 + 4 + 563 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (31973803045621) and next prime (31973803045643).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 52675128273 + ... + 52675128879.

It is an arithmetic number, because the mean of its divisors is an integer number (68475635200).

It is a 1-persistent number, because it is pandigital, but 2⋅31973803045632 = 63947606091264 is not.

Almost surely, 2^{31973803045632} is an apocalyptic number.

31973803045632 is a gapful number since it is divisible by the number (32) 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 31973803045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59162948812800).

31973803045632 is an abundant number, since it is smaller than the sum of its proper divisors (86352094579968).

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

31973803045632 is a wasteful number, since it uses less digits than its factorization.

31973803045632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 31973803045632 in words is "thirty-one trillion, nine hundred seventy-three billion, eight hundred three million, forty-five thousand, six hundred thirty-two".