115117464 has 144 divisors (see below), whose sum is σ = 368436600. Its totient is φ = 29863680.

The previous prime is 115117459. The next prime is 115117469. The reversal of 115117464 is 464711511.

115117464 = 8⁴ + 9⁴ + ... + 56⁴.

It is an interprime number because it is at equal distance from previous prime (115117459) and next prime (115117469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115117469) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141892 + ... + 142700.

Almost surely, 2^115117464 is an apocalyptic number.

115117464 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 115117464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184218300).

115117464 is an abundant number, since it is smaller than the sum of its proper divisors (253319136).

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

115117464 is a wasteful number, since it uses less digits than its factorization.

115117464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 832 counting only the distinct ones).

The product of its digits is 3360, while the sum is 30.

The square root of 115117464 is about 10729.2806841838. The cubic root of 115117464 is about 486.4599280350.

Adding to 115117464 its reverse (464711511), we get a palindrome (579828975).

The spelling of 115117464 in words is "one hundred fifteen million, one hundred seventeen thousand, four hundred sixty-four".