114115356306435 has 192 divisors, whose sum is σ = 208117564462080. Its totient is φ = 53329001088000.

The previous prime is 114115356306409. The next prime is 114115356306451. The reversal of 114115356306435 is 534603653511411.

It is not a de Polignac number, because 114115356306435 - 2⁸ = 114115356306179 is a prime.

It is a super-2 number, since 2×114115356306435² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1113954037 + ... + 1114056473.

It is an arithmetic number, because the mean of its divisors is an integer number (1083945648240).

Almost surely, 2^{114115356306435} is an apocalyptic number.

114115356306435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114115356306435 is a deficient number, since it is larger than the sum of its proper divisors (94002208155645).

114115356306435 is a wasteful number, since it uses less digits than its factorization.

114115356306435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102730 (or 102719 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 114115356306435 in words is "one hundred fourteen trillion, one hundred fifteen billion, three hundred fifty-six million, three hundred six thousand, four hundred thirty-five".