14997074400 has 1152 divisors, whose sum is σ = 69115576320. Its totient is φ = 3048192000.

The previous prime is 14997074387. The next prime is 14997074401. The reversal of 14997074400 is 447079941.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14997074401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118087137 + ... + 118087263.

It is an arithmetic number, because the mean of its divisors is an integer number (59996160).

Almost surely, 2^14997074400 is an apocalyptic number.

14997074400 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 14997074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34557788160).

14997074400 is an abundant number, since it is smaller than the sum of its proper divisors (54118501920).

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

14997074400 is a wasteful number, since it uses less digits than its factorization.

14997074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 14997074400 in words is "fourteen billion, nine hundred ninety-seven million, seventy-four thousand, four hundred".