46424561356800 has 2808 divisors, whose sum is σ = 200913906499488. Its totient is φ = 10580734771200.

The previous prime is 46424561356781. The next prime is 46424561356853. The reversal of 46424561356800 is 865316542464.

46424561356800 is a `hidden beast` number, since 4 + 6 + 4 + 24 + 56 + 1 + 3 + 568 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 51184741947 + ... + 51184742853.

Almost surely, 2^{46424561356800} is an apocalyptic number.

46424561356800 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 46424561356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100456953249744).

46424561356800 is an abundant number, since it is smaller than the sum of its proper divisors (154489345142688).

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

46424561356800 is a wasteful number, since it uses less digits than its factorization.

46424561356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 46424561356800 in words is "forty-six trillion, four hundred twenty-four billion, five hundred sixty-one million, three hundred fifty-six thousand, eight hundred".