46521034560 has 1680 divisors, whose sum is σ = 225244322688. Its totient is φ = 8868372480.

The previous prime is 46521034559. The next prime is 46521034561. The reversal of 46521034560 is 6543012564.

46521034560 is a `hidden beast` number, since 4 + 6 + 52 + 10 + 34 + 560 = 666.

46521034560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46521034559) and next prime (46521034561).

It is a tau number, because it is divible by the number of its divisors (1680).

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 (46521034561) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 285405039 + ... + 285405201.

Almost surely, 2^46521034560 is an apocalyptic number.

46521034560 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 46521034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112622161344).

46521034560 is an abundant number, since it is smaller than the sum of its proper divisors (178723288128).

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

46521034560 is a wasteful number, since it uses less digits than its factorization.

46521034560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 46521034560 in words is "forty-six billion, five hundred twenty-one million, thirty-four thousand, five hundred sixty".