46919892100 has 27 divisors (see below), whose sum is σ = 101820866511. Its totient is φ = 18767090400.

The previous prime is 46919892059. The next prime is 46919892157. The reversal of 46919892100 is 129891964.

It is a happy number.

The square root of 46919892100 is 216610.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4996510596 + 41923381504 = 70686^2 + 204752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2155270 + ... + 2176930.

Almost surely, 2^46919892100 is an apocalyptic number.

46919892100 is the 216610-th square number.

It is an amenable number.

46919892100 is an abundant number, since it is smaller than the sum of its proper divisors (54900974411).

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

46919892100 is an frugal number, since it uses more digits than its factorization.

46919892100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43336 (or 21668 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 49.

Multiplying 46919892100 by its sum of digits (49), we get a square (2299074712900 = 1516270²).

The spelling of 46919892100 in words is "forty-six billion, nine hundred nineteen million, eight hundred ninety-two thousand, one hundred".