45481536 has 63 divisors (see below), whose sum is σ = 130830193. Its totient is φ = 15106560.

The previous prime is 45481523. The next prime is 45481549. The reversal of 45481536 is 63518454.

It is a happy number.

The square root of 45481536 is 6744.

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

45481536 is a `hidden beast` number, since 45 + 4 + 81 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (45481523) and next prime (45481549).

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 14745600 = 5544^2 + 3840^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45481536.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 161716 + ... + 161996.

Almost surely, 2^45481536 is an apocalyptic number.

45481536 is the 6744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45481536

45481536 is an abundant number, since it is smaller than the sum of its proper divisors (85348657).

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

45481536 is an equidigital number, since it uses as much as digits as its factorization.

45481536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 286 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The cubic root of 45481536 is about 356.9535518508.

Multiplying 45481536 by its sum of digits (36), we get a square (1637335296 = 40464²).

45481536 divided by its sum of digits (36) gives a square (1263376 = 1124²).

Multiplying 45481536 by its product of digits (57600), we get a square (2619736473600 = 1618560²).

It can be divided in two parts, 4548 and 1536, that added together give a square (6084 = 78²).

The spelling of 45481536 in words is "forty-five million, four hundred eighty-one thousand, five hundred thirty-six".