116921485624608 has 288 divisors, whose sum is σ = 394129833761664. Its totient is φ = 33400957243392.

The previous prime is 116921485624583. The next prime is 116921485624627. The reversal of 116921485624608 is 806426584129611.

116921485624608 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 2 + 1 + 4 + 8 + 562 + 4 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 357835966 + ... + 358162562.

It is an arithmetic number, because the mean of its divisors is an integer number (1368506367228).

Almost surely, 2^{116921485624608} is an apocalyptic number.

116921485624608 is a gapful number since it is divisible by the number (18) 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 116921485624608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197064916880832).

116921485624608 is an abundant number, since it is smaller than the sum of its proper divisors (277208348137056).

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

116921485624608 is an equidigital number, since it uses as much as digits as its factorization.

116921485624608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333206 (or 333186 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 116921485624608 in words is "one hundred sixteen trillion, nine hundred twenty-one billion, four hundred eighty-five million, six hundred twenty-four thousand, six hundred eight".