48191364 has 81 divisors (see below), whose sum is σ = 133407183. Its totient is φ = 14661504.

The previous prime is 48191333. The next prime is 48191383. The reversal of 48191364 is 46319184.

The square root of 48191364 is 6942.

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 21068100 + 27123264 = 4590^2 + 5208^2 .

It is a super-3 number, since 3×48191364³ (a number of 24 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 541432 + ... + 541520.

Almost surely, 2^48191364 is an apocalyptic number.

48191364 is the 6942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48191364

48191364 is an abundant number, since it is smaller than the sum of its proper divisors (85215819).

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

48191364 is a wasteful number, since it uses less digits than its factorization.

48191364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The cubic root of 48191364 is about 363.9064385383.

Multiplying 48191364 by its sum of digits (36), we get a square (1734889104 = 41652²).

48191364 divided by its sum of digits (36) gives a square (1338649 = 1157²).

Multiplying 48191364 by its product of digits (20736), we get a square (999296123904 = 999648²).

The spelling of 48191364 in words is "forty-eight million, one hundred ninety-one thousand, three hundred sixty-four".