114919673447040 has 2048 divisors, whose sum is σ = 474979519365120. Its totient is φ = 22944141803520.

The previous prime is 114919673447023. The next prime is 114919673447053. The reversal of 114919673447040 is 40744376919411.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 228468535429 + ... + 228468535931.

It is an arithmetic number, because the mean of its divisors is an integer number (231923593440).

Almost surely, 2^{114919673447040} is an apocalyptic number.

114919673447040 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 114919673447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237489759682560).

114919673447040 is an abundant number, since it is smaller than the sum of its proper divisors (360059845918080).

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

114919673447040 is a wasteful number, since it uses less digits than its factorization.

114919673447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 114919673447040 in words is "one hundred fourteen trillion, nine hundred nineteen billion, six hundred seventy-three million, four hundred forty-seven thousand, forty".