45964800000000 has 2304 divisors, whose sum is σ = 204796770144000. Its totient is φ = 9953280000000.

The previous prime is 45964799999959. The next prime is 45964800000023. The reversal of 45964800000000 is 846954.

45964800000000 is a `hidden beast` number, since 4 + 5 + 9 + 648 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×45964800000000² (a number of 28 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2419199999991 + ... + 2419200000009.

Almost surely, 2^{45964800000000} is an apocalyptic number.

45964800000000 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 45964800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102398385072000).

45964800000000 is an abundant number, since it is smaller than the sum of its proper divisors (158831970144000).

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

45964800000000 is an frugal number, since it uses more digits than its factorization.

45964800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 36 counting only the distinct ones).

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

Adding to 45964800000000 its reverse (846954), we get a palindrome (45964800846954).

The spelling of 45964800000000 in words is "forty-five trillion, nine hundred sixty-four billion, eight hundred million", and thus it is an aban number.