32125256144415 has 80 divisors (see below), whose sum is σ = 66626197135200. Its totient is φ = 14685831232128.

The previous prime is 32125256144369. The next prime is 32125256144417. The reversal of 32125256144415 is 51444165252123.

32125256144415 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 5 + 2 + 561 + 44 + 41 + 5 = 666.

It is not a de Polignac number, because 32125256144415 - 2⁸ = 32125256144159 is a prime.

It is a super-2 number, since 2×32125256144415² (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 (32125256144417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49231230 + ... + 49879499.

It is an arithmetic number, because the mean of its divisors is an integer number (832827464190).

Almost surely, 2^{32125256144415} is an apocalyptic number.

32125256144415 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

32125256144415 is an abundant number, since it is smaller than the sum of its proper divisors (34500940990785).

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

32125256144415 is an frugal number, since it uses more digits than its factorization.

32125256144415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99110771 (or 99110744 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 32125256144415 in words is "thirty-two trillion, one hundred twenty-five billion, two hundred fifty-six million, one hundred forty-four thousand, four hundred fifteen".