114759238164480 has 5376 divisors, whose sum is σ = 558312760212480. Its totient is φ = 21917218111488.

The previous prime is 114759238164469. The next prime is 114759238164491. The reversal of 114759238164480 is 84461832957411.

It is a happy number.

114759238164480 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 5 + 92 + 3 + 8 + 1 + 64 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (114759238164469) and next prime (114759238164491).

It is a tau number, because it is divible by the number of its divisors (5376).

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 383 ways as a sum of consecutive naturals, for example, 446534000512 + ... + 446534000768.

It is an arithmetic number, because the mean of its divisors is an integer number (103852819980).

It is a 2-persistent number, because it is pandigital, and so is 2⋅114759238164480 = 229518476328960, but 3⋅114759238164480 = 344277714493440 is not.

Almost surely, 2^{114759238164480} is an apocalyptic number.

114759238164480 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 114759238164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279156380106240).

114759238164480 is an abundant number, since it is smaller than the sum of its proper divisors (443553522048000).

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

114759238164480 is a wasteful number, since it uses less digits than its factorization.

114759238164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 114759238164480 in words is "one hundred fourteen trillion, seven hundred fifty-nine billion, two hundred thirty-eight million, one hundred sixty-four thousand, four hundred eighty".