115204356483840 has 1152 divisors, whose sum is σ = 475961091379200. Its totient is φ = 26139303936000.

The previous prime is 115204356483781. The next prime is 115204356483899. The reversal of 115204356483840 is 48384653402511.

115204356483840 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 0 + 4 + 3 + 564 + 8 + 38 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (115204356483781) and next prime (115204356483899).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×115204356483840² (a number of 29 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 315661465 + ... + 316026215.

It is an arithmetic number, because the mean of its divisors is an integer number (413160669600).

Almost surely, 2^{115204356483840} is an apocalyptic number.

115204356483840 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 115204356483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237980545689600).

115204356483840 is an abundant number, since it is smaller than the sum of its proper divisors (360756734895360).

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

115204356483840 is a wasteful number, since it uses less digits than its factorization.

115204356483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364850 (or 364830 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 115204356483840 in words is "one hundred fifteen trillion, two hundred four billion, three hundred fifty-six million, four hundred eighty-three thousand, eight hundred forty".