9914486400 has 1152 divisors, whose sum is σ = 45365846400. Its totient is φ = 2070282240.

The previous prime is 9914486383. The next prime is 9914486503. The reversal of 9914486400 is 46844199.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102211152 + ... + 102211248.

It is an arithmetic number, because the mean of its divisors is an integer number (39380075).

Almost surely, 2^9914486400 is an apocalyptic number.

9914486400 is a gapful number since it is divisible by the number (90) 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 9914486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22682923200).

9914486400 is an abundant number, since it is smaller than the sum of its proper divisors (35451360000).

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

9914486400 is a wasteful number, since it uses less digits than its factorization.

9914486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9914486400 is about 99571.5139987336. The cubic root of 9914486400 is about 2148.2759858861.

The spelling of 9914486400 in words is "nine billion, nine hundred fourteen million, four hundred eighty-six thousand, four hundred".