14535912000 has 448 divisors, whose sum is σ = 51124469760. Its totient is φ = 3628800000.

The previous prime is 14535911993. The next prime is 14535912029. The reversal of 14535912000 is 21953541.

It is a super-2 number, since 2×14535912000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57911875 + ... + 57912125.

It is an arithmetic number, because the mean of its divisors is an integer number (114117120).

Almost surely, 2^14535912000 is an apocalyptic number.

14535912000 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 14535912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25562234880).

14535912000 is an abundant number, since it is smaller than the sum of its proper divisors (36588557760).

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

14535912000 is a wasteful number, since it uses less digits than its factorization.

14535912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 14535912000 in words is "fourteen billion, five hundred thirty-five million, nine hundred twelve thousand".