1157929748896 has 48 divisors (see below), whose sum is σ = 2330243475840. Its totient is φ = 566143741440.

The previous prime is 1157929748887. The next prime is 1157929748909. The reversal of 1157929748896 is 6988479297511.

It is a super-2 number, since 2×1157929748896² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1357051 + ... + 2038981.

It is an arithmetic number, because the mean of its divisors is an integer number (48546739080).

Almost surely, 2^{1157929748896} is an apocalyptic number.

1157929748896 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 1157929748896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165121737920).

1157929748896 is an abundant number, since it is smaller than the sum of its proper divisors (1172313726944).

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

1157929748896 is a wasteful number, since it uses less digits than its factorization.

1157929748896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683117 (or 683109 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 76.

The spelling of 1157929748896 in words is "one trillion, one hundred fifty-seven billion, nine hundred twenty-nine million, seven hundred forty-eight thousand, eight hundred ninety-six".