45969638400 has 660 divisors, whose sum is σ = 194598759168. Its totient is φ = 10504028160.

The previous prime is 45969638359. The next prime is 45969638401. The reversal of 45969638400 is 483696954.

45969638400 is a `hidden beast` number, since 4 + 596 + 9 + 6 + 3 + 8 + 40 + 0 = 666.

It is a super-2 number, since 2×45969638400² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45969638401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14513617 + ... + 14516783.

Almost surely, 2^45969638400 is an apocalyptic number.

45969638400 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 45969638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97299379584).

45969638400 is an abundant number, since it is smaller than the sum of its proper divisors (148629120768).

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

45969638400 is a wasteful number, since it uses less digits than its factorization.

45969638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 45969638400 in words is "forty-five billion, nine hundred sixty-nine million, six hundred thirty-eight thousand, four hundred".