46960883200 has 960 divisors, whose sum is σ = 157824184320. Its totient is φ = 13418496000.

The previous prime is 46960883129. The next prime is 46960883239. The reversal of 46960883200 is 238806964.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 886054374 + ... + 886054426.

It is an arithmetic number, because the mean of its divisors is an integer number (164400192).

Almost surely, 2^46960883200 is an apocalyptic number.

46960883200 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 46960883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78912092160).

46960883200 is an abundant number, since it is smaller than the sum of its proper divisors (110863301120).

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

46960883200 is a wasteful number, since it uses less digits than its factorization.

46960883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 46960883200 in words is "forty-six billion, nine hundred sixty million, eight hundred eighty-three thousand, two hundred".