14611312000 has 128 divisors (see below), whose sum is σ = 36403473600. Its totient is φ = 5832294400.

The previous prime is 14611311991. The next prime is 14611312021. The reversal of 14611312000 is 21311641.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×14611312000² (a number of 21 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 15 ways as a sum of consecutive naturals, for example, 14863509 + ... + 14864491.

Almost surely, 2^14611312000 is an apocalyptic number.

14611312000 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 14611312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201736800).

14611312000 is an abundant number, since it is smaller than the sum of its proper divisors (21792161600).

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

14611312000 is an frugal number, since it uses more digits than its factorization.

14611312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 14611312000 its reverse (21311641), we get a palindrome (14632623641).

It can be divided in two parts, 146 and 11312000, that added together give a triangular number (11312146 = T₄₇₅₆).

The spelling of 14611312000 in words is "fourteen billion, six hundred eleven million, three hundred twelve thousand".