31745654304 has 192 divisors, whose sum is σ = 104657414400. Its totient is φ = 8372367360.

The previous prime is 31745654287. The next prime is 31745654357. The reversal of 31745654304 is 40345654713.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390984 + ... + 465144.

It is an arithmetic number, because the mean of its divisors is an integer number (545090700).

Almost surely, 2^31745654304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31745654304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52328707200).

31745654304 is an abundant number, since it is smaller than the sum of its proper divisors (72911760096).

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

31745654304 is a wasteful number, since it uses less digits than its factorization.

31745654304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74208 (or 74186 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 31745654304 in words is "thirty-one billion, seven hundred forty-five million, six hundred fifty-four thousand, three hundred four".