114573749852160 has 1152 divisors, whose sum is σ = 424994169600000. Its totient is φ = 28463068348416.

The previous prime is 114573749852137. The next prime is 114573749852183. The reversal of 114573749852160 is 61258947375411.

114573749852160 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 7 + 3 + 7 + 49 + 8 + 521 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (114573749852137) and next prime (114573749852183).

It is a tau number, because it is divible by the number of its divisors (1152).

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, 37211349501 + ... + 37211352579.

It is an arithmetic number, because the mean of its divisors is an integer number (368918550000).

It is a 1-persistent number, because it is pandigital, but 2⋅114573749852160 = 229147499704320 is not.

Almost surely, 2^{114573749852160} is an apocalyptic number.

114573749852160 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 114573749852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212497084800000).

114573749852160 is an abundant number, since it is smaller than the sum of its proper divisors (310420419747840).

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

114573749852160 is a wasteful number, since it uses less digits than its factorization.

114573749852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 114573749852160 in words is "one hundred fourteen trillion, five hundred seventy-three billion, seven hundred forty-nine million, eight hundred fifty-two thousand, one hundred sixty".