114154434514120 has 128 divisors (see below), whose sum is σ = 344858151939840. Its totient is φ = 32843633495040.

The previous prime is 114154434514117. The next prime is 114154434514181. The reversal of 114154434514120 is 21415434451411.

It is a super-2 number, since 2×114154434514120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1425464887 + ... + 1425544966.

It is an arithmetic number, because the mean of its divisors is an integer number (2694204312030).

Almost surely, 2^{114154434514120} is an apocalyptic number.

114154434514120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114154434514120 is an abundant number, since it is smaller than the sum of its proper divisors (230703717425720).

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

114154434514120 is a wasteful number, since it uses less digits than its factorization.

114154434514120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851009895 (or 2851009891 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

Adding to 114154434514120 its reverse (21415434451411), we get a palindrome (135569868965531).

The spelling of 114154434514120 in words is "one hundred fourteen trillion, one hundred fifty-four billion, four hundred thirty-four million, five hundred fourteen thousand, one hundred twenty".