45989853556800 has 252 divisors, whose sum is σ = 156267402299216. Its totient is φ = 11841064704000.

The previous prime is 45989853556753. The next prime is 45989853556819. The reversal of 45989853556800 is 865535898954.

It is a super-2 number, since 2×45989853556800² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1659526 + ... + 9733125.

Almost surely, 2^{45989853556800} is an apocalyptic number.

45989853556800 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 45989853556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78133701149608).

45989853556800 is an abundant number, since it is smaller than the sum of its proper divisors (110277548742416).

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

45989853556800 is a wasteful number, since it uses less digits than its factorization.

45989853556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11392734 (or 11392690 counting only the distinct ones).

The product of its (nonzero) digits is 1866240000, while the sum is 75.

The spelling of 45989853556800 in words is "forty-five trillion, nine hundred eighty-nine billion, eight hundred fifty-three million, five hundred fifty-six thousand, eight hundred".