114023130923520 has 960 divisors, whose sum is σ = 486242237505024. Its totient is φ = 24046805975040.

The previous prime is 114023130923473. The next prime is 114023130923567. The reversal of 114023130923520 is 25329031320411.

114023130923520 is a `hidden beast` number, since 1 + 1 + 40 + 2 + 3 + 1 + 3 + 0 + 92 + 3 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (114023130923473) and next prime (114023130923567).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5184979725 + ... + 5185001715.

Almost surely, 2^{114023130923520} is an apocalyptic number.

114023130923520 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 114023130923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243121118752512).

114023130923520 is an abundant number, since it is smaller than the sum of its proper divisors (372219106581504).

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

114023130923520 is a wasteful number, since it uses less digits than its factorization.

114023130923520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24513 (or 24494 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 114023130923520 in words is "one hundred fourteen trillion, twenty-three billion, one hundred thirty million, nine hundred twenty-three thousand, five hundred twenty".