14945240100 has 216 divisors, whose sum is σ = 50642050368. Its totient is φ = 3392928000.

The previous prime is 14945239919. The next prime is 14945240113. The reversal of 14945240100 is 104254941.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2216334 + ... + 2223066.

Almost surely, 2^14945240100 is an apocalyptic number.

14945240100 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 14945240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25321025184).

14945240100 is an abundant number, since it is smaller than the sum of its proper divisors (35696810268).

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

14945240100 is a wasteful number, since it uses less digits than its factorization.

14945240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6915 (or 6901 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 14945240100 in words is "fourteen billion, nine hundred forty-five million, two hundred forty thousand, one hundred".