25346311078144 has 243 divisors, whose sum is σ = 59713153502877. Its totient is φ = 10706352943104.

The previous prime is 25346311078117. The next prime is 25346311078159. The reversal of 25346311078144 is 44187011364352.

The square root of 25346311078144 is 5034512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4177478156544 + 21168832921600 = 2043888^2 + 4600960^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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 26 ways as a sum of consecutive naturals, for example, 44545361892 + ... + 44545362460.

Almost surely, 2^{25346311078144} is an apocalyptic number.

25346311078144 is the 5034512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25346311078144

25346311078144 is an abundant number, since it is smaller than the sum of its proper divisors (34366842424733).

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

25346311078144 is an frugal number, since it uses more digits than its factorization.

25346311078144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

25346311078144 divided by its sum of digits (49) gives a square (517271654656 = 719216²).

The spelling of 25346311078144 in words is "twenty-five trillion, three hundred forty-six billion, three hundred eleven million, seventy-eight thousand, one hundred forty-four".