114543151051040 has 144 divisors (see below), whose sum is σ = 274677611330808. Its totient is φ = 45137213227008.

The previous prime is 114543151051019. The next prime is 114543151051061. The reversal of 114543151051040 is 40150151345411.

It is an interprime number because it is at equal distance from previous prime (114543151051019) and next prime (114543151051061).

It can be written as a sum of positive squares in 4 ways, for example, as 101780737758736 + 12762413292304 = 10088644^2 + 3572452^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327431102 + ... + 327780738.

Almost surely, 2^{114543151051040} is an apocalyptic number.

114543151051040 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 114543151051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137338805665404).

114543151051040 is an abundant number, since it is smaller than the sum of its proper divisors (160134460279768).

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

114543151051040 is a wasteful number, since it uses less digits than its factorization.

114543151051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350051 (or 349940 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 114543151051040 in words is "one hundred fourteen trillion, five hundred forty-three billion, one hundred fifty-one million, fifty-one thousand, forty".