1251118361376 has 336 divisors, whose sum is σ = 4211062229304. Its totient is φ = 362313326592.

The previous prime is 1251118361323. The next prime is 1251118361387. The reversal of 1251118361376 is 6731638111521.

1251118361376 is a `hidden beast` number, since 1 + 2 + 5 + 11 + 18 + 3 + 613 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 793303736976 + 457814624400 = 890676^2 + 676620^2 .

It is a super-2 number, since 2×1251118361376² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5034150 + ... + 5276826.

Almost surely, 2^{1251118361376} is an apocalyptic number.

1251118361376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251118361376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105531114652).

1251118361376 is an abundant number, since it is smaller than the sum of its proper divisors (2959943867928).

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

1251118361376 is a wasteful number, since it uses less digits than its factorization.

1251118361376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242735 (or 242712 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 1251118361376 in words is "one trillion, two hundred fifty-one billion, one hundred eighteen million, three hundred sixty-one thousand, three hundred seventy-six".