45408501820800 has 576 divisors, whose sum is σ = 172811506654800. Its totient is φ = 11313439703040.

The previous prime is 45408501820771. The next prime is 45408501820807. The reversal of 45408501820800 is 802810580454.

45408501820800 is a `hidden beast` number, since 4 + 5 + 40 + 8 + 501 + 8 + 20 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45408501820807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66736711 + ... + 67413689.

Almost surely, 2^{45408501820800} is an apocalyptic number.

45408501820800 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 45408501820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86405753327400).

45408501820800 is an abundant number, since it is smaller than the sum of its proper divisors (127403004834000).

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

45408501820800 is a wasteful number, since it uses less digits than its factorization.

45408501820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677163 (or 677143 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 45408501820800 in words is "forty-five trillion, four hundred eight billion, five hundred one million, eight hundred twenty thousand, eight hundred".