45513879782400 has 1848 divisors, whose sum is σ = 176101788907008. Its totient is φ = 11645337600000.

The previous prime is 45513879782387. The next prime is 45513879782401. The reversal of 45513879782400 is 428797831554.

45513879782400 is a `hidden beast` number, since 4 + 5 + 5 + 1 + 387 + 9 + 7 + 8 + 240 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (45513879782401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 87358694140 + ... + 87358694660.

Almost surely, 2^{45513879782400} is an apocalyptic number.

45513879782400 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 45513879782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88050894453504).

45513879782400 is an abundant number, since it is smaller than the sum of its proper divisors (130587909124608).

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

45513879782400 is a wasteful number, since it uses less digits than its factorization.

45513879782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 45513879782400 in words is "forty-five trillion, five hundred thirteen billion, eight hundred seventy-nine million, seven hundred eighty-two thousand, four hundred".