114251758740 has 480 divisors, whose sum is σ = 432498528000. Its totient is φ = 24664227840.

The previous prime is 114251758717. The next prime is 114251758793. The reversal of 114251758740 is 47857152411.

114251758740 is a `hidden beast` number, since 1 + 1 + 4 + 25 + 1 + 7 + 587 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 96740950 + ... + 96742130.

It is an arithmetic number, because the mean of its divisors is an integer number (901038600).

Almost surely, 2^114251758740 is an apocalyptic number.

114251758740 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 114251758740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216249264000).

114251758740 is an abundant number, since it is smaller than the sum of its proper divisors (318246769260).

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

114251758740 is a wasteful number, since it uses less digits than its factorization.

114251758740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 114251758740 in words is "one hundred fourteen billion, two hundred fifty-one million, seven hundred fifty-eight thousand, seven hundred forty".