157644316368 has 800 divisors, whose sum is σ = 593207746560. Its totient is φ = 39222144000.

The previous prime is 157644316351. The next prime is 157644316369. The reversal of 157644316368 is 863613446751.

157644316368 is a `hidden beast` number, since 1 + 576 + 4 + 4 + 3 + 1 + 6 + 3 + 68 = 666.

It is a super-2 number, since 2×157644316368² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157644316369) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 405255118 + ... + 405255506.

Almost surely, 2^157644316368 is an apocalyptic number.

157644316368 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 157644316368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296603873280).

157644316368 is an abundant number, since it is smaller than the sum of its proper divisors (435563430192).

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

157644316368 is a wasteful number, since it uses less digits than its factorization.

157644316368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 574 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

157644316368 divided by its sum of digits (54) gives a palindrome (2919339192).

The spelling of 157644316368 in words is "one hundred fifty-seven billion, six hundred forty-four million, three hundred sixteen thousand, three hundred sixty-eight".