114970679040 has 576 divisors, whose sum is σ = 446307563520. Its totient is φ = 24623185920.

The previous prime is 114970678997. The next prime is 114970679041. The reversal of 114970679040 is 40976079411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114970679041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142114156 + ... + 142114964.

It is an arithmetic number, because the mean of its divisors is an integer number (774839520).

Almost surely, 2^114970679040 is an apocalyptic number.

114970679040 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 114970679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223153781760).

114970679040 is an abundant number, since it is smaller than the sum of its proper divisors (331336884480).

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

114970679040 is a wasteful number, since it uses less digits than its factorization.

114970679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 114970679040 in words is "one hundred fourteen billion, nine hundred seventy million, six hundred seventy-nine thousand, forty".