25613918248464 has 400 divisors, whose sum is σ = 91313309324160. Its totient is φ = 6750038292480.

The previous prime is 25613918248403. The next prime is 25613918248469. The reversal of 25613918248464 is 46484281931652.

25613918248464 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 3 + 91 + 8 + 2 + 484 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (25613918248469) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 151935259 + ... + 152103749.

Almost surely, 2^{25613918248464} is an apocalyptic number.

25613918248464 is a gapful number since it is divisible by the number (24) 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 25613918248464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45656654662080).

25613918248464 is an abundant number, since it is smaller than the sum of its proper divisors (65699391075696).

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

25613918248464 is a wasteful number, since it uses less digits than its factorization.

25613918248464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169820 (or 169805 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 25613918248464 in words is "twenty-five trillion, six hundred thirteen billion, nine hundred eighteen million, two hundred forty-eight thousand, four hundred sixty-four".