46188002112 has 672 divisors, whose sum is σ = 156556984320. Its totient is φ = 11948912640.

The previous prime is 46188002057. The next prime is 46188002123. The reversal of 46188002112 is 21120088164.

It is a tau number, because it is divible by the number of its divisors (672).

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, 363684993 + ... + 363685119.

Almost surely, 2^46188002112 is an apocalyptic number.

46188002112 is a gapful number since it is divisible by the number (42) 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 46188002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78278492160).

46188002112 is an abundant number, since it is smaller than the sum of its proper divisors (110368982208).

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

46188002112 is a wasteful number, since it uses less digits than its factorization.

46188002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 46188002112 in words is "forty-six billion, one hundred eighty-eight million, two thousand, one hundred twelve".