45678913459200 has 1320 divisors, whose sum is σ = 195305899608512. Its totient is φ = 10332937912320.

The previous prime is 45678913459139. The next prime is 45678913459213. The reversal of 45678913459200 is 295431987654.

45678913459200 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 8 + 9 + 1 + 34 + 592 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1407958179 + ... + 1407990621.

It is a 2-persistent number, because it is pandigital, and so is 2⋅45678913459200 = 91357826918400, but 3⋅45678913459200 = 137036740377600 is not.

Almost surely, 2^{45678913459200} is an apocalyptic number.

45678913459200 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 45678913459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97652949804256).

45678913459200 is an abundant number, since it is smaller than the sum of its proper divisors (149626986149312).

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

45678913459200 is a wasteful number, since it uses less digits than its factorization.

45678913459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32589 (or 32557 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 45678913459200 in words is "forty-five trillion, six hundred seventy-eight billion, nine hundred thirteen million, four hundred fifty-nine thousand, two hundred".