251128224396 has 288 divisors, whose sum is σ = 811674017280. Its totient is φ = 66775218048.

The previous prime is 251128224383. The next prime is 251128224443. The reversal of 251128224396 is 693422821152.

251128224396 is a `hidden beast` number, since 2 + 5 + 11 + 28 + 224 + 396 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4475611 + ... + 4531373.

It is an arithmetic number, because the mean of its divisors is an integer number (2818312560).

Almost surely, 2^251128224396 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 251128224396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405837008640).

251128224396 is an abundant number, since it is smaller than the sum of its proper divisors (560545792884).

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

251128224396 is a wasteful number, since it uses less digits than its factorization.

251128224396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55850 (or 55835 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 251128224396 in words is "two hundred fifty-one billion, one hundred twenty-eight million, two hundred twenty-four thousand, three hundred ninety-six".