45869142931200 has 1080 divisors, whose sum is σ = 172450435142832. Its totient is φ = 12026826915840.

The previous prime is 45869142931153. The next prime is 45869142931223. The reversal of 45869142931200 is 213924196854.

It is a happy number.

45869142931200 is a `hidden beast` number, since 4 + 5 + 8 + 6 + 9 + 1 + 429 + 3 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 27682040772 + ... + 27682042428.

Almost surely, 2^{45869142931200} is an apocalyptic number.

45869142931200 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 45869142931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86225217571416).

45869142931200 is an abundant number, since it is smaller than the sum of its proper divisors (126581292211632).

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

45869142931200 is a wasteful number, since it uses less digits than its factorization.

45869142931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 45869142931200 in words is "forty-five trillion, eight hundred sixty-nine billion, one hundred forty-two million, nine hundred thirty-one thousand, two hundred".