46103904000 has 1944 divisors, whose sum is σ = 219975026544. Its totient is φ = 9580032000.

The previous prime is 46103903999. The next prime is 46103904013. The reversal of 46103904000 is 40930164.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

46103904000 is a `hidden beast` number, since 4 + 610 + 3 + 9 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4191263995 + ... + 4191264005.

Almost surely, 2^46103904000 is an apocalyptic number.

46103904000 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 46103904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109987513272).

46103904000 is an abundant number, since it is smaller than the sum of its proper divisors (173871122544).

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

46103904000 is an equidigital number, since it uses as much as digits as its factorization.

46103904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 46103904000 in words is "forty-six billion, one hundred three million, nine hundred four thousand".