115679245510764 has 288 divisors, whose sum is σ = 323039272518144. Its totient is φ = 34684150026240.

The previous prime is 115679245510729. The next prime is 115679245510811. The reversal of 115679245510764 is 467015542976511.

It is a happy number.

115679245510764 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 7 + 9 + 2 + 4 + 551 + 0 + 76 + 4 = 666.

It is a super-2 number, since 2×115679245510764² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2150504709 + ... + 2150558499.

It is an arithmetic number, because the mean of its divisors is an integer number (1121664140688).

Almost surely, 2^{115679245510764} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115679245510764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161519636259072).

115679245510764 is an abundant number, since it is smaller than the sum of its proper divisors (207360027007380).

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

115679245510764 is a wasteful number, since it uses less digits than its factorization.

115679245510764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54457 (or 54452 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 115679245510764 in words is "one hundred fifteen trillion, six hundred seventy-nine billion, two hundred forty-five million, five hundred ten thousand, seven hundred sixty-four".