46497430560 has 384 divisors, whose sum is σ = 172113984000. Its totient is φ = 10332241920.

The previous prime is 46497430559. The next prime is 46497430601. The reversal of 46497430560 is 6503479464.

46497430560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46497430560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18240166 + ... + 18242714.

It is an arithmetic number, because the mean of its divisors is an integer number (448213500).

Almost surely, 2^46497430560 is an apocalyptic number.

46497430560 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 46497430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86056992000).

46497430560 is an abundant number, since it is smaller than the sum of its proper divisors (125616553440).

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

46497430560 is a wasteful number, since it uses less digits than its factorization.

46497430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 46497430560 in words is "forty-six billion, four hundred ninety-seven million, four hundred thirty thousand, five hundred sixty".