114044455243200 has 672 divisors, whose sum is σ = 384009705805824. Its totient is φ = 29620228751360.

The previous prime is 114044455243181. The next prime is 114044455243219. The reversal of 114044455243200 is 2342554440411.

It is an interprime number because it is at equal distance from previous prime (114044455243181) and next prime (114044455243219).

It is a super-2 number, since 2×114044455243200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46605824377 + ... + 46605826823.

It is an arithmetic number, because the mean of its divisors is an integer number (571443014592).

Almost surely, 2^{114044455243200} is an apocalyptic number.

114044455243200 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 114044455243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192004852902912).

114044455243200 is an abundant number, since it is smaller than the sum of its proper divisors (269965250562624).

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

114044455243200 is a wasteful number, since it uses less digits than its factorization.

114044455243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

The spelling of 114044455243200 in words is "one hundred fourteen trillion, forty-four billion, four hundred fifty-five million, two hundred forty-three thousand, two hundred".