114454661642505 has 192 divisors, whose sum is σ = 207625997779200. Its totient is φ = 60567910341120.

The previous prime is 114454661642479. The next prime is 114454661642537. The reversal of 114454661642505 is 505246166454411.

114454661642505 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 546 + 6 + 1 + 6 + 42 + 50 + 5 = 666.

It is not a de Polignac number, because 114454661642505 - 2³⁸ = 114179783735561 is a prime.

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, 90909182566 + ... + 90909183824.

It is an arithmetic number, because the mean of its divisors is an integer number (1081385405100).

Almost surely, 2^{114454661642505} is an apocalyptic number.

114454661642505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114454661642505 is a deficient number, since it is larger than the sum of its proper divisors (93171336136695).

114454661642505 is an frugal number, since it uses more digits than its factorization.

114454661642505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 114454661642505 in words is "one hundred fourteen trillion, four hundred fifty-four billion, six hundred sixty-one million, six hundred forty-two thousand, five hundred five".