14747486400 has 672 divisors, whose sum is σ = 58370906880. Its totient is φ = 3607511040.

The previous prime is 14747486387. The next prime is 14747486401. The reversal of 14747486400 is 468474741.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (14747486401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31578967 + ... + 31579433.

Almost surely, 2^14747486400 is an apocalyptic number.

14747486400 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 14747486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29185453440).

14747486400 is an abundant number, since it is smaller than the sum of its proper divisors (43623420480).

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

14747486400 is a wasteful number, since it uses less digits than its factorization.

14747486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 14747486400 in words is "fourteen billion, seven hundred forty-seven million, four hundred eighty-six thousand, four hundred".