45140691456 has 480 divisors, whose sum is σ = 154762058880. Its totient is φ = 12397805568.

The previous prime is 45140691451. The next prime is 45140691467. The reversal of 45140691456 is 65419604154.

45140691456 is a `hidden beast` number, since 4 + 514 + 0 + 6 + 91 + 45 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (45140691451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130088275 + ... + 130088621.

It is an arithmetic number, because the mean of its divisors is an integer number (322420956).

Almost surely, 2^45140691456 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 45140691456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77381029440).

45140691456 is an abundant number, since it is smaller than the sum of its proper divisors (109621367424).

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

45140691456 is a wasteful number, since it uses less digits than its factorization.

45140691456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 45140691456 in words is "forty-five billion, one hundred forty million, six hundred ninety-one thousand, four hundred fifty-six".