249146380800 has 360 divisors, whose sum is σ = 892875709440. Its totient is φ = 66345984000.

The previous prime is 249146380781. The next prime is 249146380807. The reversal of 249146380800 is 8083641942.

It is a happy number.

249146380800 is a `hidden beast` number, since 2 + 4 + 9 + 1 + 4 + 638 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (249146380807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132594261 + ... + 132596139.

It is an arithmetic number, because the mean of its divisors is an integer number (2480210304).

Almost surely, 2^249146380800 is an apocalyptic number.

249146380800 is a gapful number since it is divisible by the number (20) 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 249146380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446437854720).

249146380800 is an abundant number, since it is smaller than the sum of its proper divisors (643729328640).

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

249146380800 is a wasteful number, since it uses less digits than its factorization.

249146380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 249146380800 in words is "two hundred forty-nine billion, one hundred forty-six million, three hundred eighty thousand, eight hundred".