9414248749920 has 2304 divisors, whose sum is σ = 40491576373248. Its totient is φ = 1945640632320.

The previous prime is 9414248749903. The next prime is 9414248749949. The reversal of 9414248749920 is 299478424149.

9414248749920 is a `hidden beast` number, since 9 + 4 + 1 + 42 + 4 + 87 + 499 + 20 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 68717144092 + ... + 68717144228.

It is an arithmetic number, because the mean of its divisors is an integer number (17574468912).

Almost surely, 2^{9414248749920} is an apocalyptic number.

9414248749920 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 9414248749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20245788186624).

9414248749920 is an abundant number, since it is smaller than the sum of its proper divisors (31077327623328).

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

9414248749920 is a wasteful number, since it uses less digits than its factorization.

9414248749920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 9414248749920 in words is "nine trillion, four hundred fourteen billion, two hundred forty-eight million, seven hundred forty-nine thousand, nine hundred twenty".