45984153600 has 1344 divisors, whose sum is σ = 213170150880. Its totient is φ = 9555148800.

The previous prime is 45984153599. The next prime is 45984153613. The reversal of 45984153600 is 635148954.

It is a Jordan-Polya number, since it can be written as 12! ⋅ 4! ⋅ (2!)².

45984153600 is a `hidden beast` number, since 4 + 598 + 4 + 1 + 53 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×45984153600² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4180377595 + ... + 4180377605.

Almost surely, 2^45984153600 is an apocalyptic number.

45984153600 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 45984153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106585075440).

45984153600 is an abundant number, since it is smaller than the sum of its proper divisors (167185997280).

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

45984153600 is an frugal number, since it uses more digits than its factorization.

45984153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 45984153600 in words is "forty-five billion, nine hundred eighty-four million, one hundred fifty-three thousand, six hundred".