45345599406900 has 1440 divisors, whose sum is σ = 177166238135040. Its totient is φ = 9923380346880.

The previous prime is 45345599406841. The next prime is 45345599406901. The reversal of 45345599406900 is 960499554354.

45345599406900 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 55 + 99 + 406 + 90 + 0 = 666.

It is a super-2 number, since 2×45345599406900² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45345599406901) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2438844004 + ... + 2438862596.

It is an arithmetic number, because the mean of its divisors is an integer number (123032109816).

Almost surely, 2^{45345599406900} 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 45345599406900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88583119067520).

45345599406900 is an abundant number, since it is smaller than the sum of its proper divisors (131820638728140).

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

45345599406900 is a wasteful number, since it uses less digits than its factorization.

45345599406900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18727 (or 18711 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 45345599406900 in words is "forty-five trillion, three hundred forty-five billion, five hundred ninety-nine million, four hundred six thousand, nine hundred".