45153431146125 has 24 divisors (see below), whose sum is σ = 81396585214776. Its totient is φ = 24081829944000.

The previous prime is 45153431146123. The next prime is 45153431146133. The reversal of 45153431146125 is 52164113435154.

45153431146125 is a `hidden beast` number, since 4 + 5 + 1 + 53 + 431 + 1 + 46 + 125 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91505645001 + 45061925501124 = 302499^2 + 6712818^2 .

It is not a de Polignac number, because 45153431146125 - 2¹ = 45153431146123 is a prime.

It is a super-2 number, since 2×45153431146125² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45153431146123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20068190496 + ... + 20068192745.

It is an arithmetic number, because the mean of its divisors is an integer number (3391524383949).

Almost surely, 2^{45153431146125} is an apocalyptic number.

45153431146125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45153431146125 is a deficient number, since it is larger than the sum of its proper divisors (36243154068651).

45153431146125 is a wasteful number, since it uses less digits than its factorization.

45153431146125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40136383262 (or 40136383249 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 45153431146125 in words is "forty-five trillion, one hundred fifty-three billion, four hundred thirty-one million, one hundred forty-six thousand, one hundred twenty-five".