157846859218944 has 2295 divisors, whose sum is σ = 593440377138081. Its totient is φ = 41683381125120.

The previous prime is 157846859218933. The next prime is 157846859219003. The reversal of 157846859218944 is 449812958648751.

The square root of 157846859218944 is 12563712.

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

157846859218944 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 4 + 6 + 8 + 592 + 18 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7605946220544 + 150240912998400 = 2757888^2 + 12257280^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (5573836800) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3849923395564 + ... + 3849923395604.

Almost surely, 2^{157846859218944} is an apocalyptic number.

157846859218944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

157846859218944 is the 12563712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157846859218944

157846859218944 is an abundant number, since it is smaller than the sum of its proper divisors (435593517919137).

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

157846859218944 is an frugal number, since it uses more digits than its factorization.

157846859218944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 72 counting only the distinct ones).

The product of its digits is 5573836800, while the sum is 81.

157846859218944 divided by its sum of digits (81) gives a square (1948726657024 = 1395968²).

The spelling of 157846859218944 in words is "one hundred fifty-seven trillion, eight hundred forty-six billion, eight hundred fifty-nine million, two hundred eighteen thousand, nine hundred forty-four".