114000062904 has 960 divisors, whose sum is σ = 422692300800. Its totient is φ = 28413504000.

The previous prime is 114000062863. The next prime is 114000062921. The reversal of 114000062904 is 409260000411.

It is a super-3 number, since 3×114000062904³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 754967229 + ... + 754967379.

It is an arithmetic number, because the mean of its divisors is an integer number (440304480).

Almost surely, 2^114000062904 is an apocalyptic number.

114000062904 is a gapful number since it is divisible by the number (14) 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 114000062904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211346150400).

114000062904 is an abundant number, since it is smaller than the sum of its proper divisors (308692237896).

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

114000062904 is a wasteful number, since it uses less digits than its factorization.

114000062904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 114000062904 in words is "one hundred fourteen billion, sixty-two thousand, nine hundred four".