14948153100 has 720 divisors, whose sum is σ = 55051476480. Its totient is φ = 3489868800.

The previous prime is 14948153063. The next prime is 14948153131. The reversal of 14948153100 is 135184941.

14948153100 is a `hidden beast` number, since 1 + 49 + 4 + 81 + 531 + 0 + 0 = 666.

It is a super-2 number, since 2×14948153100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 145127649 + ... + 145127751.

It is an arithmetic number, because the mean of its divisors is an integer number (76460384).

Almost surely, 2^14948153100 is an apocalyptic number.

14948153100 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 14948153100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27525738240).

14948153100 is an abundant number, since it is smaller than the sum of its proper divisors (40103323380).

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

14948153100 is a wasteful number, since it uses less digits than its factorization.

14948153100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 14948153100 in words is "fourteen billion, nine hundred forty-eight million, one hundred fifty-three thousand, one hundred".