31723923152064 has 896 divisors, whose sum is σ = 108050387042304. Its totient is φ = 8062083072000.

The previous prime is 31723923151997. The next prime is 31723923152093. The reversal of 31723923152064 is 46025132932713.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6236270929 + ... + 6236276015.

It is an arithmetic number, because the mean of its divisors is an integer number (120591949824).

Almost surely, 2^{31723923152064} is an apocalyptic number.

31723923152064 is a gapful number since it is divisible by the number (34) 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 31723923152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54025193521152).

31723923152064 is an abundant number, since it is smaller than the sum of its proper divisors (76326463890240).

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

31723923152064 is a wasteful number, since it uses less digits than its factorization.

31723923152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5605 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 31723923152064 in words is "thirty-one trillion, seven hundred twenty-three billion, nine hundred twenty-three million, one hundred fifty-two thousand, sixty-four".