114319115190720 has 1120 divisors, whose sum is σ = 467406605952000. Its totient is φ = 26251258429440.

The previous prime is 114319115190713. The next prime is 114319115190793. The reversal of 114319115190720 is 27091511913411.

114319115190720 is a `hidden beast` number, since 1 + 1 + 43 + 1 + 91 + 1 + 519 + 0 + 7 + 2 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 675364656 + ... + 675533904.

Almost surely, 2^{114319115190720} is an apocalyptic number.

114319115190720 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 114319115190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233703302976000).

114319115190720 is an abundant number, since it is smaller than the sum of its proper divisors (353087490761280).

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

114319115190720 is a wasteful number, since it uses less digits than its factorization.

114319115190720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169415 (or 169396 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 45.

The spelling of 114319115190720 in words is "one hundred fourteen trillion, three hundred nineteen billion, one hundred fifteen million, one hundred ninety thousand, seven hundred twenty".