45153941015925 has 360 divisors, whose sum is σ = 102793205813760. Its totient is φ = 19505914041600.

The previous prime is 45153941015891. The next prime is 45153941015959. The reversal of 45153941015925 is 52951014935154.

It is a happy number.

45153941015925 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 3 + 9 + 41 + 0 + 1 + 592 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (45153941015891) and next prime (45153941015959).

It is not a de Polignac number, because 45153941015925 - 2¹¹ = 45153941013877 is a prime.

It is a super-2 number, since 2×45153941015925² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 135076740 + ... + 135410610.

It is an arithmetic number, because the mean of its divisors is an integer number (285536682816).

Almost surely, 2^{45153941015925} is an apocalyptic number.

45153941015925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45153941015925 is an abundant number, since it is smaller than the sum of its proper divisors (57639264797835).

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

45153941015925 is a wasteful number, since it uses less digits than its factorization.

45153941015925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333983 (or 333962 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 45153941015925 in words is "forty-five trillion, one hundred fifty-three billion, nine hundred forty-one million, fifteen thousand, nine hundred twenty-five".