46919768000 has 112 divisors (see below), whose sum is σ = 132796507584. Its totient is φ = 16086758400.

The previous prime is 46919767991. The next prime is 46919768003. The reversal of 46919768000 is 86791964.

46919768000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 46919768000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46919768003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362927 + ... + 474926.

Almost surely, 2^46919768000 is an apocalyptic number.

46919768000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46919768000 is an abundant number, since it is smaller than the sum of its proper divisors (85876739584).

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

46919768000 is an equidigital number, since it uses as much as digits as its factorization.

46919768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837887 (or 837867 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The spelling of 46919768000 in words is "forty-six billion, nine hundred nineteen million, seven hundred sixty-eight thousand".