249051133900800 has 6912 divisors, whose sum is σ = 1226455901798400. Its totient is φ = 48559266201600.

The previous prime is 249051133900753. The next prime is 249051133900841. The reversal of 249051133900800 is 8009331150942.

It is a happy number.

249051133900800 is a `hidden beast` number, since 2 + 49 + 0 + 511 + 3 + 3 + 90 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×249051133900800² (a number of 30 digits) contains 22 as substring.

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

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, 1961032550337 + ... + 1961032550463.

It is an arithmetic number, because the mean of its divisors is an integer number (177438643200).

Almost surely, 2^{249051133900800} is an apocalyptic number.

249051133900800 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 249051133900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613227950899200).

249051133900800 is an abundant number, since it is smaller than the sum of its proper divisors (977404767897600).

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

249051133900800 is a wasteful number, since it uses less digits than its factorization.

249051133900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 249051133900800 in words is "two hundred forty-nine trillion, fifty-one billion, one hundred thirty-three million, nine hundred thousand, eight hundred".