116486294400 has 1920 divisors, whose sum is σ = 538703616000. Its totient is φ = 24186470400.

The previous prime is 116486294389. The next prime is 116486294423. The reversal of 116486294400 is 4492684611.

116486294400 is a `hidden beast` number, since 1 + 16 + 4 + 8 + 629 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1068681546 + ... + 1068681654.

It is an arithmetic number, because the mean of its divisors is an integer number (280574800).

Almost surely, 2^116486294400 is an apocalyptic number.

116486294400 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 116486294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269351808000).

116486294400 is an abundant number, since it is smaller than the sum of its proper divisors (422217321600).

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

116486294400 is a wasteful number, since it uses less digits than its factorization.

116486294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 116486294400 in words is "one hundred sixteen billion, four hundred eighty-six million, two hundred ninety-four thousand, four hundred".