249377912927472 has 320 divisors, whose sum is σ = 761761529856000. Its totient is φ = 68793493708800.

The previous prime is 249377912927459. The next prime is 249377912927497. The reversal of 249377912927472 is 274729219773942.

It is a junction number, because it is equal to n+sod(n) for n = 249377912927394 and 249377912927403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26783145697 + ... + 26783155007.

It is an arithmetic number, because the mean of its divisors is an integer number (2380504780800).

Almost surely, 2^{249377912927472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249377912927472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380880764928000).

249377912927472 is an abundant number, since it is smaller than the sum of its proper divisors (512383616928528).

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

249377912927472 is a wasteful number, since it uses less digits than its factorization.

249377912927472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15012 (or 15006 counting only the distinct ones).

The product of its digits is 1344252672, while the sum is 75.

The spelling of 249377912927472 in words is "two hundred forty-nine trillion, three hundred seventy-seven billion, nine hundred twelve million, nine hundred twenty-seven thousand, four hundred seventy-two".