45651541377024 has 360 divisors, whose sum is σ = 150122349179712. Its totient is φ = 13232320020480.

The previous prime is 45651541377019. The next prime is 45651541377037. The reversal of 45651541377024 is 42077314515654.

45651541377024 is a `hidden beast` number, since 4 + 5 + 6 + 5 + 1 + 541 + 3 + 7 + 70 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36694522 + ... + 37918214.

Almost surely, 2^{45651541377024} is an apocalyptic number.

45651541377024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45651541377024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75061174589856).

45651541377024 is an abundant number, since it is smaller than the sum of its proper divisors (104470807802688).

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

45651541377024 is a wasteful number, since it uses less digits than its factorization.

45651541377024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223761 (or 1223732 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 45651541377024 in words is "forty-five trillion, six hundred fifty-one billion, five hundred forty-one million, three hundred seventy-seven thousand, twenty-four".