45214202880000 has 1680 divisors, whose sum is σ = 203500187294976. Its totient is φ = 9394421760000.

The previous prime is 45214202879959. The next prime is 45214202880013. The reversal of 45214202880000 is 8820241254.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3548153629 + ... + 3548166371.

Almost surely, 2^{45214202880000} is an apocalyptic number.

45214202880000 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 45214202880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101750093647488).

45214202880000 is an abundant number, since it is smaller than the sum of its proper divisors (158285984414976).

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

45214202880000 is a wasteful number, since it uses less digits than its factorization.

45214202880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12813 (or 12771 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 45214202880000 in words is "forty-five trillion, two hundred fourteen billion, two hundred two million, eight hundred eighty thousand".