46547199504 has 225 divisors, whose sum is σ = 146198559639. Its totient is φ = 14291147520.

The previous prime is 46547199493. The next prime is 46547199527. The reversal of 46547199504 is 40599174564.

The square root of 46547199504 is 215748.

It is a perfect power (a square), and thus also a powerful number.

46547199504 is a `hidden beast` number, since 4 + 6 + 5 + 47 + 1 + 99 + 504 = 666.

46547199504 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 13731152400 + 32816047104 = 117180^2 + 181152^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 100969834 + ... + 100970294.

Almost surely, 2^46547199504 is an apocalyptic number.

46547199504 is the 215748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46547199504

46547199504 is an abundant number, since it is smaller than the sum of its proper divisors (99651360135).

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

46547199504 is an equidigital number, since it uses as much as digits as its factorization.

46547199504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

It can be divided in two parts, 46547 and 199504, that added together give a triangular number (246051 = T₇₀₁).

The spelling of 46547199504 in words is "forty-six billion, five hundred forty-seven million, one hundred ninety-nine thousand, five hundred four".