157648716318976 has 81 divisors (see below), whose sum is σ = 316165443440889. Its totient is φ = 78454413361152.

The previous prime is 157648716318871. The next prime is 157648716318997. The reversal of 157648716318976 is 679813617846751.

The square root of 157648716318976 is 12555824.

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

It can be written as a sum of positive squares in only one way, i.e., 2271892998400 + 155376823320576 = 1507280^2 + 12465024^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 157648716318896 and 157648716318905.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45602751040 + ... + 45602754496.

Almost surely, 2^{157648716318976} is an apocalyptic number.

157648716318976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

157648716318976 is the 12555824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157648716318976

157648716318976 is an abundant number, since it is smaller than the sum of its proper divisors (158516727121913).

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

157648716318976 is an frugal number, since it uses more digits than its factorization.

157648716318976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 3686 counting only the distinct ones).

The product of its digits is 2560481280, while the sum is 79.

The spelling of 157648716318976 in words is "one hundred fifty-seven trillion, six hundred forty-eight billion, seven hundred sixteen million, three hundred eighteen thousand, nine hundred seventy-six".