14952038400 has 648 divisors, whose sum is σ = 59485489560. Its totient is φ = 3680501760.

The previous prime is 14952038393. The next prime is 14952038401. The reversal of 14952038400 is 483025941.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14952038400 is a `hidden beast` number, since 1 + 49 + 5 + 203 + 8 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14952038401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1150156794 + ... + 1150156806.

It is an arithmetic number, because the mean of its divisors is an integer number (91798595).

Almost surely, 2^14952038400 is an apocalyptic number.

14952038400 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 14952038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29742744780).

14952038400 is an abundant number, since it is smaller than the sum of its proper divisors (44533451160).

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

14952038400 is an frugal number, since it uses more digits than its factorization.

14952038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14952038400 in words is "fourteen billion, nine hundred fifty-two million, thirty-eight thousand, four hundred".