45157948416 has 660 divisors, whose sum is σ = 161285848416. Its totient is φ = 12541132800.

The previous prime is 45157948391. The next prime is 45157948469. The reversal of 45157948416 is 61484975154.

45157948416 is a `hidden beast` number, since 4 + 5 + 157 + 9 + 484 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 166634361 + ... + 166634631.

Almost surely, 2^45157948416 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 45157948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80642924208).

45157948416 is an abundant number, since it is smaller than the sum of its proper divisors (116127900000).

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

45157948416 is a wasteful number, since it uses less digits than its factorization.

45157948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 324 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 45157948416 in words is "forty-five billion, one hundred fifty-seven million, nine hundred forty-eight thousand, four hundred sixteen".