157748414976 has 320 divisors, whose sum is σ = 500577960960. Its totient is φ = 49483726848.

The previous prime is 157748414953. The next prime is 157748415007. The reversal of 157748414976 is 679414847751.

157748414976 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 484 + 149 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19031505 + ... + 19039791.

It is an arithmetic number, because the mean of its divisors is an integer number (1564306128).

Almost surely, 2^157748414976 is an apocalyptic number.

157748414976 is a gapful number since it is divisible by the number (16) 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 157748414976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250288980480).

157748414976 is an abundant number, since it is smaller than the sum of its proper divisors (342829545984).

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

157748414976 is an frugal number, since it uses more digits than its factorization.

157748414976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8343 (or 8309 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The spelling of 157748414976 in words is "one hundred fifty-seven billion, seven hundred forty-eight million, four hundred fourteen thousand, nine hundred seventy-six".