46961518080 has 640 divisors, whose sum is σ = 168685203456. Its totient is φ = 11088691200.

The previous prime is 46961518073. The next prime is 46961518141. The reversal of 46961518080 is 8081516964.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165941619 + ... + 165941901.

Almost surely, 2^46961518080 is an apocalyptic number.

46961518080 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 46961518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84342601728).

46961518080 is an abundant number, since it is smaller than the sum of its proper divisors (121723685376).

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

46961518080 is a wasteful number, since it uses less digits than its factorization.

46961518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 46961518080 in words is "forty-six billion, nine hundred sixty-one million, five hundred eighteen thousand, eighty".