253397814488676 has 243 divisors, whose sum is σ = 762422704958187. Its totient is φ = 70876687115520.

The previous prime is 253397814488659. The next prime is 253397814488717. The reversal of 253397814488676 is 676884418793352.

The square root of 253397814488676 is 15918474.

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

253397814488676 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 9 + 78 + 1 + 4 + 488 + 67 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 159345834647076 + 94051979841600 = 12623226^2 + 9698040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253397814488595 and 253397814488604.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13658041416 + ... + 13658059968.

Almost surely, 2^{253397814488676} is an apocalyptic number.

253397814488676 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

253397814488676 is the 15918474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253397814488676

253397814488676 is an abundant number, since it is smaller than the sum of its proper divisors (509024890469511).

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

253397814488676 is a wasteful number, since it uses less digits than its factorization.

253397814488676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37164 (or 18582 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 81.

The spelling of 253397814488676 in words is "two hundred fifty-three trillion, three hundred ninety-seven billion, eight hundred fourteen million, four hundred eighty-eight thousand, six hundred seventy-six".