249621269616 has 320 divisors, whose sum is σ = 736338903040. Its totient is φ = 80949093120.

The previous prime is 249621269551. The next prime is 249621269627. The reversal of 249621269616 is 616962126942.

249621269616 is a `hidden beast` number, since 2 + 4 + 9 + 6 + 2 + 12 + 6 + 9 + 616 = 666.

249621269616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×249621269616³ (a number of 35 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 921111561 + ... + 921111831.

It is an arithmetic number, because the mean of its divisors is an integer number (2301059072).

Almost surely, 2^249621269616 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 249621269616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368169451520).

249621269616 is an abundant number, since it is smaller than the sum of its proper divisors (486717633424).

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

249621269616 is a wasteful number, since it uses less digits than its factorization.

249621269616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 669 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 249621269616 in words is "two hundred forty-nine billion, six hundred twenty-one million, two hundred sixty-nine thousand, six hundred sixteen".