46749910128 has 80 divisors (see below), whose sum is σ = 123156180000. Its totient is φ = 15275999232.

The previous prime is 46749910079. The next prime is 46749910157. The reversal of 46749910128 is 82101994764.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3170100 + ... + 3184812.

It is an arithmetic number, because the mean of its divisors is an integer number (1539452250).

Almost surely, 2^46749910128 is an apocalyptic number.

46749910128 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 46749910128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61578090000).

46749910128 is an abundant number, since it is smaller than the sum of its proper divisors (76406269872).

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

46749910128 is a wasteful number, since it uses less digits than its factorization.

46749910128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16026 (or 16020 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 46749910128 in words is "forty-six billion, seven hundred forty-nine million, nine hundred ten thousand, one hundred twenty-eight".