45620121600 has 468 divisors, whose sum is σ = 166369039200. Its totient is φ = 11944919040.

The previous prime is 45620121563. The next prime is 45620121607. The reversal of 45620121600 is 612102654.

45620121600 is a `hidden beast` number, since 4 + 56 + 2 + 0 + 1 + 2 + 1 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45620121607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54373981 + ... + 54374819.

It is an arithmetic number, because the mean of its divisors is an integer number (355489400).

Almost surely, 2^45620121600 is an apocalyptic number.

45620121600 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 45620121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83184519600).

45620121600 is an abundant number, since it is smaller than the sum of its proper divisors (120748917600).

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

45620121600 is a wasteful number, since it uses less digits than its factorization.

45620121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 45620121600 in words is "forty-five billion, six hundred twenty million, one hundred twenty-one thousand, six hundred".