14608746900 has 864 divisors, whose sum is σ = 56052412416. Its totient is φ = 3265920000.

The previous prime is 14608746883. The next prime is 14608746937. The reversal of 14608746900 is 964780641.

It is a super-2 number, since 2×14608746900² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 339738279 + ... + 339738321.

Almost surely, 2^14608746900 is an apocalyptic number.

14608746900 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 14608746900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28026206208).

14608746900 is an abundant number, since it is smaller than the sum of its proper divisors (41443665516).

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

14608746900 is a wasteful number, since it uses less digits than its factorization.

14608746900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14608746900 in words is "fourteen billion, six hundred eight million, seven hundred forty-six thousand, nine hundred".