14997645000 has 480 divisors, whose sum is σ = 56492916480. Its totient is φ = 3568320000.

The previous prime is 14997644989. The next prime is 14997645001. The reversal of 14997645000 is 54679941.

It is a super-3 number, since 3×14997645000³ (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14997645001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18134587 + ... + 18135413.

It is an arithmetic number, because the mean of its divisors is an integer number (117693576).

Almost surely, 2^14997645000 is an apocalyptic number.

14997645000 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 14997645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28246458240).

14997645000 is an abundant number, since it is smaller than the sum of its proper divisors (41495271480).

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

14997645000 is a wasteful number, since it uses less digits than its factorization.

14997645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 14997645000 in words is "fourteen billion, nine hundred ninety-seven million, six hundred forty-five thousand".