114749323920 has 1680 divisors, whose sum is σ = 529524608256. Its totient is φ = 22581504000.

The previous prime is 114749323867. The next prime is 114749323921. The reversal of 114749323920 is 29323947411.

114749323920 is a `hidden beast` number, since 1 + 1 + 474 + 93 + 2 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is not an unprimeable number, because it can be changed into a prime (114749323921) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1136131870 + ... + 1136131970.

Almost surely, 2^114749323920 is an apocalyptic number.

114749323920 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 114749323920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264762304128).

114749323920 is an abundant number, since it is smaller than the sum of its proper divisors (414775284336).

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

114749323920 is a wasteful number, since it uses less digits than its factorization.

114749323920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 114749323920 in words is "one hundred fourteen billion, seven hundred forty-nine million, three hundred twenty-three thousand, nine hundred twenty".