1251763345404 has 144 divisors (see below), whose sum is σ = 3728393716320. Its totient is φ = 349104107520.

The previous prime is 1251763345397. The next prime is 1251763345433. The reversal of 1251763345404 is 4045433671521.

1251763345404 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 7 + 633 + 4 + 5 + 4 + 0 + 4 = 666.

It is a super-2 number, since 2×1251763345404² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1251763345404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374112 + ... + 2095640.

It is an arithmetic number, because the mean of its divisors is an integer number (25891623030).

Almost surely, 2^{1251763345404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251763345404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864196858160).

1251763345404 is an abundant number, since it is smaller than the sum of its proper divisors (2476630370916).

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

1251763345404 is a wasteful number, since it uses less digits than its factorization.

1251763345404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721900 (or 721895 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 1251763345404 in words is "one trillion, two hundred fifty-one billion, seven hundred sixty-three million, three hundred forty-five thousand, four hundred four".