12495301632 has 396 divisors, whose sum is σ = 41322199464. Its totient is φ = 3606282240.

The previous prime is 12495301591. The next prime is 12495301633. The reversal of 12495301632 is 23610359421.

12495301632 is a `hidden beast` number, since 1 + 2 + 495 + 3 + 0 + 163 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×12495301632² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12495301633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53627788 + ... + 53628020.

Almost surely, 2^12495301632 is an apocalyptic number.

12495301632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12495301632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20661099732).

12495301632 is an abundant number, since it is smaller than the sum of its proper divisors (28826897832).

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

12495301632 is a wasteful number, since it uses less digits than its factorization.

12495301632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 12495301632 in words is "twelve billion, four hundred ninety-five million, three hundred one thousand, six hundred thirty-two".