114021561457800 has 144 divisors (see below), whose sum is σ = 382930418512980. Its totient is φ = 30405113856000.

The previous prime is 114021561457799. The next prime is 114021561457819. The reversal of 114021561457800 is 8754165120411.

It is a happy number.

114021561457800 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 1 + 561 + 4 + 5 + 7 + 80 + 0 = 666.

114021561457800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 95992926569604 + 18028634888196 = 9797598^2 + 4246014^2 .

It is a super-2 number, since 2×114021561457800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88788280 + ... + 90063320.

Almost surely, 2^{114021561457800} is an apocalyptic number.

114021561457800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114021561457800 is an abundant number, since it is smaller than the sum of its proper divisors (268908857055180).

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

114021561457800 is a wasteful number, since it uses less digits than its factorization.

114021561457800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324744 (or 1324732 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 114021561457800 in words is "one hundred fourteen trillion, twenty-one billion, five hundred sixty-one million, four hundred fifty-seven thousand, eight hundred".