114266260785600 has 1680 divisors, whose sum is σ = 524160799109376. Its totient is φ = 23720656896000.

The previous prime is 114266260785473. The next prime is 114266260785601. The reversal of 114266260785600 is 6587062662411.

114266260785600 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 6 + 6 + 2 + 6 + 0 + 78 + 560 + 0 = 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 not an unprimeable number, because it can be changed into a prime (114266260785601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11506012635 + ... + 11506022565.

Almost surely, 2^{114266260785600} is an apocalyptic number.

114266260785600 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 114266260785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080399554688).

114266260785600 is an abundant number, since it is smaller than the sum of its proper divisors (409894538323776).

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

114266260785600 is a wasteful number, since it uses less digits than its factorization.

114266260785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11136 (or 11112 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 114266260785600 in words is "one hundred fourteen trillion, two hundred sixty-six billion, two hundred sixty million, seven hundred eighty-five thousand, six hundred".