45376450560 has 832 divisors, whose sum is σ = 194382259200. Its totient is φ = 9809952768.

The previous prime is 45376450459. The next prime is 45376450571. The reversal of 45376450560 is 6505467354.

45376450560 is a `hidden beast` number, since 4 + 5 + 37 + 6 + 4 + 50 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73543372 + ... + 73543988.

Almost surely, 2^45376450560 is an apocalyptic number.

45376450560 is a gapful number since it is divisible by the number (40) 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 45376450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97191129600).

45376450560 is an abundant number, since it is smaller than the sum of its proper divisors (149005808640).

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

45376450560 is a wasteful number, since it uses less digits than its factorization.

45376450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 45376450560 in words is "forty-five billion, three hundred seventy-six million, four hundred fifty thousand, five hundred sixty".