157412092981248 has 1040 divisors, whose sum is σ = 555717364899840. Its totient is φ = 43448057856000.

The previous prime is 157412092981219. The next prime is 157412092981321. The reversal of 157412092981248 is 842189290214751.

157412092981248 is a `hidden beast` number, since 1 + 5 + 7 + 412 + 0 + 9 + 2 + 98 + 124 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50468768233 + ... + 50468771351.

It is an arithmetic number, because the mean of its divisors is an integer number (534343620096).

Almost surely, 2^{157412092981248} is an apocalyptic number.

157412092981248 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 157412092981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277858682449920).

157412092981248 is an abundant number, since it is smaller than the sum of its proper divisors (398305271918592).

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

157412092981248 is an equidigital number, since it uses as much as digits as its factorization.

157412092981248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 157412092981248 in words is "one hundred fifty-seven trillion, four hundred twelve billion, ninety-two million, nine hundred eighty-one thousand, two hundred forty-eight".