114278948340480 has 4320 divisors, whose sum is σ = 532914740930880. Its totient is φ = 23115815976960.

The previous prime is 114278948340313. The next prime is 114278948340511. The reversal of 114278948340480 is 84043849872411.

114278948340480 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 7 + 89 + 48 + 34 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 479 ways as a sum of consecutive naturals, for example, 444665168512 + ... + 444665168768.

It is an arithmetic number, because the mean of its divisors is an integer number (123359893734).

Almost surely, 2^{114278948340480} is an apocalyptic number.

114278948340480 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 114278948340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266457370465440).

114278948340480 is an abundant number, since it is smaller than the sum of its proper divisors (418635792590400).

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

114278948340480 is a wasteful number, since it uses less digits than its factorization.

114278948340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 114278948340480 in words is "one hundred fourteen trillion, two hundred seventy-eight billion, nine hundred forty-eight million, three hundred forty thousand, four hundred eighty".