249493372128 has 1728 divisors, whose sum is σ = 1062848666880. Its totient is φ = 56435097600.

The previous prime is 249493372111. The next prime is 249493372133. The reversal of 249493372128 is 821273394942.

It is a happy number.

249493372128 is a `hidden beast` number, since 2 + 4 + 94 + 9 + 337 + 212 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1035242088 + ... + 1035242328.

It is an arithmetic number, because the mean of its divisors is an integer number (615074460).

Almost surely, 2^249493372128 is an apocalyptic number.

249493372128 is a gapful number since it is divisible by the number (28) 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 249493372128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531424333440).

249493372128 is an abundant number, since it is smaller than the sum of its proper divisors (813355294752).

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

249493372128 is a wasteful number, since it uses less digits than its factorization.

249493372128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 296 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 249493372128 in words is "two hundred forty-nine billion, four hundred ninety-three million, three hundred seventy-two thousand, one hundred twenty-eight".