826113752464 has 405 divisors, whose sum is σ = 2225913971841. Its totient is φ = 295795019520.

The previous prime is 826113752459. The next prime is 826113752467. The reversal of 826113752464 is 464257311628.

The square root of 826113752464 is 908908.

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., 122206176400 + 703907576064 = 349580^2 + 838992^2 .

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

It is not an unprimeable number, because it can be changed into a prime (826113752467) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3639267519 + ... + 3639267745.

Almost surely, 2^826113752464 is an apocalyptic number.

826113752464 is the 908908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826113752464

826113752464 is an abundant number, since it is smaller than the sum of its proper divisors (1399800219377).

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

826113752464 is a wasteful number, since it uses less digits than its factorization.

826113752464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 260 counting only the distinct ones).

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

Multiplying 826113752464 by its sum of digits (49), we get a square (40479573870736 = 6362356²).

826113752464 divided by its sum of digits (49) gives a square (16859464336 = 129844²).

The spelling of 826113752464 in words is "eight hundred twenty-six billion, one hundred thirteen million, seven hundred fifty-two thousand, four hundred sixty-four".