114881829279840 has 7680 divisors, whose sum is σ = 569053900800000. Its totient is φ = 21630945853440.

The previous prime is 114881829279839. The next prime is 114881829279853. The reversal of 114881829279840 is 48972928188411.

114881829279840 is a `hidden beast` number, since 1 + 1 + 488 + 1 + 82 + 9 + 27 + 9 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 1290807070516 + ... + 1290807070604.

It is an arithmetic number, because the mean of its divisors is an integer number (74095560000).

Almost surely, 2^{114881829279840} is an apocalyptic number.

114881829279840 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 114881829279840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284526950400000).

114881829279840 is an abundant number, since it is smaller than the sum of its proper divisors (454172071520160).

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

114881829279840 is a wasteful number, since it uses less digits than its factorization.

114881829279840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 72.

The spelling of 114881829279840 in words is "one hundred fourteen trillion, eight hundred eighty-one billion, eight hundred twenty-nine million, two hundred seventy-nine thousand, eight hundred forty".