45975145482000 has 320 divisors, whose sum is σ = 188220787622400. Its totient is φ = 10508604595200.

The previous prime is 45975145481983. The next prime is 45975145482017. The reversal of 45975145482000 is 28454157954.

45975145482000 is a `hidden beast` number, since 4 + 5 + 9 + 75 + 1 + 4 + 548 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45975145481983) and next prime (45975145482017).

It is a super-2 number, since 2×45975145482000² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60435685 + ... + 61191684.

It is an arithmetic number, because the mean of its divisors is an integer number (588189961320).

Almost surely, 2^{45975145482000} is an apocalyptic number.

45975145482000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45975145482000 is an abundant number, since it is smaller than the sum of its proper divisors (142245642140400).

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

45975145482000 is a wasteful number, since it uses less digits than its factorization.

45975145482000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121627408 (or 121627386 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 45975145482000 in words is "forty-five trillion, nine hundred seventy-five billion, one hundred forty-five million, four hundred eighty-two thousand".