114258913965440 has 256 divisors, whose sum is σ = 284117621760000. Its totient is φ = 43891642368000.

The previous prime is 114258913965431. The next prime is 114258913965461. The reversal of 114258913965440 is 44569319852411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3022783661 + ... + 3022821459.

It is an arithmetic number, because the mean of its divisors is an integer number (1109834460000).

Almost surely, 2^{114258913965440} is an apocalyptic number.

114258913965440 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 114258913965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142058810880000).

114258913965440 is an abundant number, since it is smaller than the sum of its proper divisors (169858707794560).

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

114258913965440 is a wasteful number, since it uses less digits than its factorization.

114258913965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39009 (or 38997 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 62.

The spelling of 114258913965440 in words is "one hundred fourteen trillion, two hundred fifty-eight billion, nine hundred thirteen million, nine hundred sixty-five thousand, four hundred forty".