114650944611840 has 1680 divisors, whose sum is σ = 516327375464208. Its totient is φ = 24189838589952.

The previous prime is 114650944611839. The next prime is 114650944611899. The reversal of 114650944611840 is 48116449056411.

It is a happy number.

114650944611840 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 50 + 94 + 461 + 1 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1188746659 + ... + 1188843101.

Almost surely, 2^{114650944611840} is an apocalyptic number.

114650944611840 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 114650944611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258163687732104).

114650944611840 is an abundant number, since it is smaller than the sum of its proper divisors (401676430852368).

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

114650944611840 is an frugal number, since it uses more digits than its factorization.

114650944611840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96511 (or 96473 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 114650944611840 in words is "one hundred fourteen trillion, six hundred fifty billion, nine hundred forty-four million, six hundred eleven thousand, eight hundred forty".