46806415488 has 512 divisors, whose sum is σ = 168422400000. Its totient is φ = 12499329024.

The previous prime is 46806415457. The next prime is 46806415529. The reversal of 46806415488 is 88451460864.

It is a happy number.

46806415488 is a `hidden beast` number, since 46 + 80 + 6 + 41 + 5 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 36311548 + ... + 36312836.

It is an arithmetic number, because the mean of its divisors is an integer number (328950000).

Almost surely, 2^46806415488 is an apocalyptic number.

46806415488 is a gapful number since it is divisible by the number (48) 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 46806415488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84211200000).

46806415488 is an abundant number, since it is smaller than the sum of its proper divisors (121615984512).

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

46806415488 is a wasteful number, since it uses less digits than its factorization.

46806415488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 46806415488 in words is "forty-six billion, eight hundred six million, four hundred fifteen thousand, four hundred eighty-eight".