1157631734007 has 48 divisors (see below), whose sum is σ = 1937572203840. Its totient is φ = 652313212416.

The previous prime is 1157631734003. The next prime is 1157631734023. The reversal of 1157631734007 is 7004371367511.

1157631734007 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 631 + 7 + 3 + 4 + 0 + 0 + 7 = 666.

It is not a de Polignac number, because 1157631734007 - 2² = 1157631734003 is a prime.

It is a super-2 number, since 2×1157631734007² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157631734003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26270469 + ... + 26314497.

It is an arithmetic number, because the mean of its divisors is an integer number (40366087580).

Almost surely, 2^{1157631734007} is an apocalyptic number.

1157631734007 is a deficient number, since it is larger than the sum of its proper divisors (779940469833).

1157631734007 is a wasteful number, since it uses less digits than its factorization.

1157631734007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49832 (or 49829 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 1157631734007 in words is "one trillion, one hundred fifty-seven billion, six hundred thirty-one million, seven hundred thirty-four thousand, seven".