45213431062464 has 560 divisors, whose sum is σ = 153620510883840. Its totient is φ = 12880489881600.

The previous prime is 45213431062421. The next prime is 45213431062529. The reversal of 45213431062464 is 46426013431254.

45213431062464 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 3 + 4 + 3 + 10 + 624 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30364963032 + ... + 30364964520.

It is an arithmetic number, because the mean of its divisors is an integer number (274322340864).

Almost surely, 2^{45213431062464} 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 45213431062464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76810255441920).

45213431062464 is an abundant number, since it is smaller than the sum of its proper divisors (108407079821376).

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

45213431062464 is a wasteful number, since it uses less digits than its factorization.

45213431062464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 45213431062464 in words is "forty-five trillion, two hundred thirteen billion, four hundred thirty-one million, sixty-two thousand, four hundred sixty-four".