114901011000000 has 980 divisors, whose sum is σ = 450797180190984. Its totient is φ = 28837555200000.

The previous prime is 114901010999939. The next prime is 114901011000101. The reversal of 114901011000000 is 110109411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1376958279 + ... + 1377041721.

Almost surely, 2^{114901011000000} is an apocalyptic number.

114901011000000 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 114901011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225398590095492).

114901011000000 is an abundant number, since it is smaller than the sum of its proper divisors (335896169190984).

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

114901011000000 is an frugal number, since it uses more digits than its factorization.

114901011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83514 (or 83470 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 114901011000000 its reverse (110109411), we get a palindrome (114901121109411).

The spelling of 114901011000000 in words is "one hundred fourteen trillion, nine hundred one billion, eleven million", and thus it is an aban number.