25653311346144 has 48 divisors (see below), whose sum is σ = 70884149777280. Its totient is φ = 8101045687680.

The previous prime is 25653311346137. The next prime is 25653311346251. The reversal of 25653311346144 is 44164311335652.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 25653311346093 and 25653311346102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7032155892 + ... + 7032159539.

It is an arithmetic number, because the mean of its divisors is an integer number (1476753120360).

Almost surely, 2^{25653311346144} is an apocalyptic number.

25653311346144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25653311346144 is an abundant number, since it is smaller than the sum of its proper divisors (45230838431136).

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

25653311346144 is a wasteful number, since it uses less digits than its factorization.

25653311346144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14064315463 (or 14064315455 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 25653311346144 in words is "twenty-five trillion, six hundred fifty-three billion, three hundred eleven million, three hundred forty-six thousand, one hundred forty-four".