46392852100 has 243 divisors, whose sum is σ = 125093893869. Its totient is φ = 14887756800.

The previous prime is 46392852071. The next prime is 46392852119. The reversal of 46392852100 is 125829364.

The square root of 46392852100 is 215390.

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

It can be written as a sum of positive squares in 13 ways, for example, as 43356401284 + 3036450816 = 208222^2 + 55104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 256314010 + ... + 256314190.

Almost surely, 2^46392852100 is an apocalyptic number.

46392852100 is the 215390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46392852100

46392852100 is an abundant number, since it is smaller than the sum of its proper divisors (78701041769).

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

46392852100 is a wasteful number, since it uses less digits than its factorization.

46392852100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 46392852100 in words is "forty-six billion, three hundred ninety-two million, eight hundred fifty-two thousand, one hundred".