46797118560 has 288 divisors, whose sum is σ = 177990190560. Its totient is φ = 11126882304.

The previous prime is 46797118523. The next prime is 46797118607. The reversal of 46797118560 is 6581179764.

46797118560 is a `hidden beast` number, since 4 + 6 + 7 + 9 + 71 + 1 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 46797118497 and 46797118506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414814 + ... + 515426.

It is an arithmetic number, because the mean of its divisors is an integer number (618021495).

Almost surely, 2^46797118560 is an apocalyptic number.

46797118560 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 46797118560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88995095280).

46797118560 is an abundant number, since it is smaller than the sum of its proper divisors (131193072000).

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

46797118560 is a wasteful number, since it uses less digits than its factorization.

46797118560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100670 (or 100659 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 46797118560 in words is "forty-six billion, seven hundred ninety-seven million, one hundred eighteen thousand, five hundred sixty".