116400121456 has 80 divisors (see below), whose sum is σ = 240826996800. Its totient is φ = 54311358464.

The previous prime is 116400121433. The next prime is 116400121457. The reversal of 116400121456 is 654121004611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116400121457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18301605 + ... + 18307963.

It is an arithmetic number, because the mean of its divisors is an integer number (3010337460).

Almost surely, 2^116400121456 is an apocalyptic number.

116400121456 is a gapful number since it is divisible by the number (16) 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 116400121456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120413498400).

116400121456 is an abundant number, since it is smaller than the sum of its proper divisors (124426875344).

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

116400121456 is a wasteful number, since it uses less digits than its factorization.

116400121456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 116400121456 in words is "one hundred sixteen billion, four hundred million, one hundred twenty-one thousand, four hundred fifty-six".