114993889920 has 1536 divisors, whose sum is σ = 528227481600. Its totient is φ = 23410114560.

The previous prime is 114993889897. The next prime is 114993889949. The reversal of 114993889920 is 29988399411.

114993889920 is a `hidden beast` number, since 1 + 1 + 499 + 38 + 8 + 99 + 20 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 191 ways as a sum of consecutive naturals, for example, 341227992 + ... + 341228328.

It is an arithmetic number, because the mean of its divisors is an integer number (343898100).

Almost surely, 2^114993889920 is an apocalyptic number.

114993889920 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 114993889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264113740800).

114993889920 is an abundant number, since it is smaller than the sum of its proper divisors (413233591680).

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

114993889920 is a wasteful number, since it uses less digits than its factorization.

114993889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 114993889920 in words is "one hundred fourteen billion, nine hundred ninety-three million, eight hundred eighty-nine thousand, nine hundred twenty".