1157617136704 has 112 divisors (see below), whose sum is σ = 2714771230848. Its totient is φ = 479495098368.

The previous prime is 1157617136693. The next prime is 1157617136707. The reversal of 1157617136704 is 4076317167511.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1157617136707) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1227012 + ... + 1954684.

Almost surely, 2^{1157617136704} is an apocalyptic number.

1157617136704 is a gapful number since it is divisible by the number (14) 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 1157617136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357385615424).

1157617136704 is an abundant number, since it is smaller than the sum of its proper divisors (1557154094144).

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

1157617136704 is an equidigital number, since it uses as much as digits as its factorization.

1157617136704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727812 (or 727802 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

The spelling of 1157617136704 in words is "one trillion, one hundred fifty-seven billion, six hundred seventeen million, one hundred thirty-six thousand, seven hundred four".