45829061452800 has 528 divisors, whose sum is σ = 169001931398400. Its totient is φ = 12169904947200.

The previous prime is 45829061452799. The next prime is 45829061452817. The reversal of 45829061452800 is 825416092854.

45829061452800 is a `hidden beast` number, since 4 + 58 + 2 + 9 + 0 + 61 + 4 + 528 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165058090 + ... + 165335510.

Almost surely, 2^{45829061452800} is an apocalyptic number.

45829061452800 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 45829061452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84500965699200).

45829061452800 is an abundant number, since it is smaller than the sum of its proper divisors (123172869945600).

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

45829061452800 is a wasteful number, since it uses less digits than its factorization.

45829061452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277699 (or 277670 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 45829061452800 in words is "forty-five trillion, eight hundred twenty-nine billion, sixty-one million, four hundred fifty-two thousand, eight hundred".