8945115379200 has 5760 divisors, whose sum is σ = 47474391444480. Its totient is φ = 1614820147200.

The previous prime is 8945115379141. The next prime is 8945115379259. The reversal of 8945115379200 is 29735115498.

It is a happy number.

8945115379200 is a `hidden beast` number, since 8 + 9 + 4 + 5 + 11 + 537 + 92 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8945115379141) and next prime (8945115379259).

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 526183257592 + ... + 526183257608.

It is an arithmetic number, because the mean of its divisors is an integer number (8242081848).

Almost surely, 2^{8945115379200} is an apocalyptic number.

8945115379200 is a gapful number since it is divisible by the number (80) 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 8945115379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23737195722240).

8945115379200 is an abundant number, since it is smaller than the sum of its proper divisors (38529276065280).

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

8945115379200 is a wasteful number, since it uses less digits than its factorization.

8945115379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 8945115379200 in words is "eight trillion, nine hundred forty-five billion, one hundred fifteen million, three hundred seventy-nine thousand, two hundred".