115433577492480 has 2496 divisors, whose sum is σ = 459049746355200. Its totient is φ = 26632110735360.

The previous prime is 115433577492463. The next prime is 115433577492481. The reversal of 115433577492480 is 84294775334511.

It is a happy number.

115433577492480 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 3 + 35 + 77 + 492 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is not an unprimeable number, because it can be changed into a prime (115433577492481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 429121105786 + ... + 429121106054.

It is an arithmetic number, because the mean of its divisors is an integer number (183914161200).

Almost surely, 2^{115433577492480} is an apocalyptic number.

115433577492480 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 115433577492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229524873177600).

115433577492480 is an abundant number, since it is smaller than the sum of its proper divisors (343616168862720).

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

115433577492480 is a wasteful number, since it uses less digits than its factorization.

115433577492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 115433577492480 in words is "one hundred fifteen trillion, four hundred thirty-three billion, five hundred seventy-seven million, four hundred ninety-two thousand, four hundred eighty".