114211266624 has 1344 divisors, whose sum is σ = 456624537600. Its totient is φ = 27653197824.

The previous prime is 114211266607. The next prime is 114211266661. The reversal of 114211266624 is 426662112411.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 899301249 + ... + 899301375.

It is an arithmetic number, because the mean of its divisors is an integer number (339750400).

Almost surely, 2^114211266624 is an apocalyptic number.

114211266624 is a gapful number since it is divisible by the number (14) 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 114211266624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228312268800).

114211266624 is an abundant number, since it is smaller than the sum of its proper divisors (342413270976).

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

114211266624 is a wasteful number, since it uses less digits than its factorization.

114211266624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 114211266624 in words is "one hundred fourteen billion, two hundred eleven million, two hundred sixty-six thousand, six hundred twenty-four".