46530057600 has 1152 divisors, whose sum is σ = 195204172800. Its totient is φ = 10450944000.

The previous prime is 46530057589. The next prime is 46530057601. The reversal of 46530057600 is 675003564.

46530057600 is a `hidden beast` number, since 46 + 5 + 3 + 0 + 0 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46530057601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220521495 + ... + 220521705.

Almost surely, 2^46530057600 is an apocalyptic number.

46530057600 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 46530057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97602086400).

46530057600 is an abundant number, since it is smaller than the sum of its proper divisors (148674115200).

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

46530057600 is a wasteful number, since it uses less digits than its factorization.

46530057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 46530057600 in words is "forty-six billion, five hundred thirty million, fifty-seven thousand, six hundred".