114795670605840 has 1280 divisors, whose sum is σ = 469914334986240. Its totient is φ = 25214534737920.

The previous prime is 114795670605769. The next prime is 114795670605853. The reversal of 114795670605840 is 48506076597411.

114795670605840 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 9 + 567 + 0 + 60 + 5 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28046826834 + ... + 28046830926.

It is an arithmetic number, because the mean of its divisors is an integer number (367120574208).

Almost surely, 2^{114795670605840} is an apocalyptic number.

114795670605840 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 114795670605840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234957167493120).

114795670605840 is an abundant number, since it is smaller than the sum of its proper divisors (355118664380400).

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

114795670605840 is a wasteful number, since it uses less digits than its factorization.

114795670605840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 114795670605840 in words is "one hundred fourteen trillion, seven hundred ninety-five billion, six hundred seventy million, six hundred five thousand, eight hundred forty".