45724533345 has 32 divisors (see below), whose sum is σ = 81324902400. Its totient is φ = 24375364992.

The previous prime is 45724533271. The next prime is 45724533373. The reversal of 45724533345 is 54333542754.

It is a happy number.

45724533345 is a `hidden beast` number, since 4 + 5 + 72 + 4 + 533 + 3 + 45 = 666.

It is not a de Polignac number, because 45724533345 - 2¹³ = 45724525153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 45724533345.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226629 + ... + 377901.

It is an arithmetic number, because the mean of its divisors is an integer number (2541403200).

Almost surely, 2^45724533345 is an apocalyptic number.

45724533345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45724533345 is a deficient number, since it is larger than the sum of its proper divisors (35600369055).

45724533345 is a wasteful number, since it uses less digits than its factorization.

45724533345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153526 (or 153520 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 45.

The spelling of 45724533345 in words is "forty-five billion, seven hundred twenty-four million, five hundred thirty-three thousand, three hundred forty-five".