45629971200 has 486 divisors, whose sum is σ = 179343754772. Its totient is φ = 11060121600.

The previous prime is 45629971157. The next prime is 45629971223. The reversal of 45629971200 is 217992654.

45629971200 is a `hidden beast` number, since 4 + 5 + 629 + 9 + 7 + 12 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6966327 + ... + 6972873.

Almost surely, 2^45629971200 is an apocalyptic number.

45629971200 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 45629971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89671877386).

45629971200 is an abundant number, since it is smaller than the sum of its proper divisors (133713783572).

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

45629971200 is a wasteful number, since it uses less digits than its factorization.

45629971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 45629971200 in words is "forty-five billion, six hundred twenty-nine million, nine hundred seventy-one thousand, two hundred".