46465017984 has 512 divisors, whose sum is σ = 181050163200. Its totient is φ = 11357798400.

The previous prime is 46465017953. The next prime is 46465018003. The reversal of 46465017984 is 48971056464.

46465017984 is a `hidden beast` number, since 4 + 6 + 46 + 501 + 7 + 98 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46465017984.

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, 4518769 + ... + 4529039.

It is an arithmetic number, because the mean of its divisors is an integer number (353613600).

Almost surely, 2^46465017984 is an apocalyptic number.

46465017984 is a gapful number since it is divisible by the number (44) 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 46465017984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90525081600).

46465017984 is an abundant number, since it is smaller than the sum of its proper divisors (134585145216).

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

46465017984 is a wasteful number, since it uses less digits than its factorization.

46465017984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329 (or 10311 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 46465017984 in words is "forty-six billion, four hundred sixty-five million, seventeen thousand, nine hundred eighty-four".