45315471031656 has 256 divisors, whose sum is σ = 133236994867200. Its totient is φ = 12573784473600.

The previous prime is 45315471031651. The next prime is 45315471031709. The reversal of 45315471031656 is 65613017451354.

It is a junction number, because it is equal to n+sod(n) for n = 45315471031599 and 45315471031608.

It is not an unprimeable number, because it can be changed into a prime (45315471031651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7376762521 + ... + 7376768663.

It is an arithmetic number, because the mean of its divisors is an integer number (520457011200).

Almost surely, 2^{45315471031656} 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 45315471031656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66618497433600).

45315471031656 is an abundant number, since it is smaller than the sum of its proper divisors (87921523835544).

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

45315471031656 is a wasteful number, since it uses less digits than its factorization.

45315471031656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10920 (or 10916 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 45315471031656 in words is "forty-five trillion, three hundred fifteen billion, four hundred seventy-one million, thirty-one thousand, six hundred fifty-six".