46346722560 has 360 divisors, whose sum is σ = 169383303936. Its totient is φ = 12094894080.

The previous prime is 46346722537. The next prime is 46346722627. The reversal of 46346722560 is 6522764364.

46346722560 is a `hidden beast` number, since 4 + 6 + 3 + 4 + 67 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×46346722560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 4868205 + ... + 4877715.

Almost surely, 2^46346722560 is an apocalyptic number.

46346722560 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 46346722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84691651968).

46346722560 is an abundant number, since it is smaller than the sum of its proper divisors (123036581376).

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

46346722560 is an equidigital number, since it uses as much as digits as its factorization.

46346722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9591 (or 9568 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 46346722560 in words is "forty-six billion, three hundred forty-six million, seven hundred twenty-two thousand, five hundred sixty".