157846099968 has 288 divisors, whose sum is σ = 508130204400. Its totient is φ = 46912241664.

The previous prime is 157846099937. The next prime is 157846100011. The reversal of 157846099968 is 869990648751.

157846099968 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 4 + 609 + 9 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 157846099896 and 157846099905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5940280 + ... + 5966792.

Almost surely, 2^157846099968 is an apocalyptic number.

157846099968 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 157846099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254065102200).

157846099968 is an abundant number, since it is smaller than the sum of its proper divisors (350284104432).

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

157846099968 is a wasteful number, since it uses less digits than its factorization.

157846099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26577 (or 26554 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 157846099968 in words is "one hundred fifty-seven billion, eight hundred forty-six million, ninety-nine thousand, nine hundred sixty-eight".