157165597150848 has 2304 divisors, whose sum is σ = 577513778849280. Its totient is φ = 41936801587200.

The previous prime is 157165597150831. The next prime is 157165597150873. The reversal of 157165597150848 is 848051795561751.

157165597150848 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 6 + 5 + 5 + 9 + 71 + 508 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 354775614115 + ... + 354775614557.

It is an arithmetic number, because the mean of its divisors is an integer number (250657022070).

Almost surely, 2^{157165597150848} is an apocalyptic number.

157165597150848 is a gapful number since it is divisible by the number (18) 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 157165597150848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288756889424640).

157165597150848 is an abundant number, since it is smaller than the sum of its proper divisors (420348181698432).

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

157165597150848 is a wasteful number, since it uses less digits than its factorization.

157165597150848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 423360000, while the sum is 72.

The spelling of 157165597150848 in words is "one hundred fifty-seven trillion, one hundred sixty-five billion, five hundred ninety-seven million, one hundred fifty thousand, eight hundred forty-eight".