115349667840 has 720 divisors, whose sum is σ = 451838580480. Its totient is φ = 27898675200.

The previous prime is 115349667817. The next prime is 115349667871. The reversal of 115349667840 is 48766943511.

115349667840 is a `hidden beast` number, since 1 + 1 + 53 + 496 + 67 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267632425 + ... + 267632855.

It is an arithmetic number, because the mean of its divisors is an integer number (627553584).

Almost surely, 2^115349667840 is an apocalyptic number.

115349667840 is a gapful number since it is divisible by the number (10) 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 115349667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225919290240).

115349667840 is an abundant number, since it is smaller than the sum of its proper divisors (336488912640).

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

115349667840 is an equidigital number, since it uses as much as digits as its factorization.

115349667840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 115349667840 in words is "one hundred fifteen billion, three hundred forty-nine million, six hundred sixty-seven thousand, eight hundred forty".