114948012480 has 224 divisors, whose sum is σ = 428370894336. Its totient is φ = 25563672576.

The previous prime is 114948012457. The next prime is 114948012503. The reversal of 114948012480 is 84210849411.

It is an interprime number because it is at equal distance from previous prime (114948012457) and next prime (114948012503).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17487 + ... + 479793.

It is an arithmetic number, because the mean of its divisors is an integer number (1912370064).

Almost surely, 2^114948012480 is an apocalyptic number.

114948012480 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 114948012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214185447168).

114948012480 is an abundant number, since it is smaller than the sum of its proper divisors (313422881856).

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

114948012480 is a wasteful number, since it uses less digits than its factorization.

114948012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462371 (or 462361 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 114948012480 in words is "one hundred fourteen billion, nine hundred forty-eight million, twelve thousand, four hundred eighty".