46908924960 has 96 divisors (see below), whose sum is σ = 148267869120. Its totient is φ = 12466316288.

The previous prime is 46908924947. The next prime is 46908924977. The reversal of 46908924960 is 6942980964.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×46908924960² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46908924960.

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 15 ways as a sum of consecutive naturals, for example, 26130 + ... + 307409.

It is an arithmetic number, because the mean of its divisors is an integer number (1544456970).

Almost surely, 2^46908924960 is an apocalyptic number.

46908924960 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 46908924960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74133934560).

46908924960 is an abundant number, since it is smaller than the sum of its proper divisors (101358944160).

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

46908924960 is a wasteful number, since it uses less digits than its factorization.

46908924960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333850 (or 333842 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 46908924960 in words is "forty-six billion, nine hundred eight million, nine hundred twenty-four thousand, nine hundred sixty".