114920034701760 has 672 divisors, whose sum is σ = 444918757608000. Its totient is φ = 27054076723200.

The previous prime is 114920034701699. The next prime is 114920034701807. The reversal of 114920034701760 is 67107430029411.

It is a happy number.

114920034701760 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 2 + 0 + 0 + 3 + 470 + 176 + 0 = 666.

It is a super-2 number, since 2×114920034701760² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 93342666 + ... + 94565814.

Almost surely, 2^{114920034701760} is an apocalyptic number.

114920034701760 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 114920034701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222459378804000).

114920034701760 is an abundant number, since it is smaller than the sum of its proper divisors (329998722906240).

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

114920034701760 is a wasteful number, since it uses less digits than its factorization.

114920034701760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223309 (or 1223296 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 114920034701760 in words is "one hundred fourteen trillion, nine hundred twenty billion, thirty-four million, seven hundred one thousand, seven hundred sixty".