1251946161216 has 189 divisors, whose sum is σ = 3753133473271. Its totient is φ = 398974312704.

The previous prime is 1251946161157. The next prime is 1251946161241. The reversal of 1251946161216 is 6121616491521.

The square root of 1251946161216 is 1118904.

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

1251946161216 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 9 + 4 + 616 + 1 + 21 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 617633995 + ... + 617636021.

Almost surely, 2^{1251946161216} is an apocalyptic number.

1251946161216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1251946161216 is the 1118904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251946161216

1251946161216 is an abundant number, since it is smaller than the sum of its proper divisors (2501187312055).

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

1251946161216 is an frugal number, since it uses more digits than its factorization.

1251946161216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 2055 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 1251946161216 in words is "one trillion, two hundred fifty-one billion, nine hundred forty-six million, one hundred sixty-one thousand, two hundred sixteen".