46147464000 has 504 divisors, whose sum is σ = 181482714504. Its totient is φ = 11185152000.

The previous prime is 46147463977. The next prime is 46147464047. The reversal of 46147464000 is 46474164.

46147464000 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 7 + 4 + 640 + 0 + 0 = 666.

46147464000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 80568576 + 46066895424 = 8976^2 + 214632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8709352 + ... + 8714648.

It is an arithmetic number, because the mean of its divisors is an integer number (360084751).

Almost surely, 2^46147464000 is an apocalyptic number.

46147464000 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 46147464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90741357252).

46147464000 is an abundant number, since it is smaller than the sum of its proper divisors (135335250504).

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

46147464000 is a wasteful number, since it uses less digits than its factorization.

46147464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 46147464000 in words is "forty-six billion, one hundred forty-seven million, four hundred sixty-four thousand".