46123547904 has 864 divisors, whose sum is σ = 171798036480. Its totient is φ = 12134707200.

The previous prime is 46123547857. The next prime is 46123547947. The reversal of 46123547904 is 40974532164.

46123547904 is a `hidden beast` number, since 4 + 6 + 12 + 3 + 547 + 90 + 4 = 666.

46123547904 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 (864).

It is a self number, because there is not a number n which added to its sum of digits gives 46123547904.

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, 241484449 + ... + 241484639.

It is an arithmetic number, because the mean of its divisors is an integer number (198840320).

Almost surely, 2^46123547904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46123547904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85899018240).

46123547904 is an abundant number, since it is smaller than the sum of its proper divisors (125674488576).

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

46123547904 is a wasteful number, since it uses less digits than its factorization.

46123547904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 46123547904 in words is "forty-six billion, one hundred twenty-three million, five hundred forty-seven thousand, nine hundred four".