45964800000 has 1248 divisors, whose sum is σ = 204761894400. Its totient is φ = 9953280000.

The previous prime is 45964799963. The next prime is 45964800001. The reversal of 45964800000 is 846954.

45964800000 is a `hidden beast` number, since 4 + 5 + 9 + 648 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×45964800000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45964800001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2419199991 + ... + 2419200009.

Almost surely, 2^45964800000 is an apocalyptic number.

45964800000 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 45964800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102380947200).

45964800000 is an abundant number, since it is smaller than the sum of its proper divisors (158797094400).

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

45964800000 is an frugal number, since it uses more digits than its factorization.

45964800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 45964800000 in words is "forty-five billion, nine hundred sixty-four million, eight hundred thousand".