249466576086 has 512 divisors, whose sum is σ = 756940800000. Its totient is φ = 60285617280.

The previous prime is 249466576027. The next prime is 249466576133. The reversal of 249466576086 is 680675664942.

249466576086 is a `hidden beast` number, since 2 + 49 + 466 + 57 + 6 + 0 + 86 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 141822075 + ... + 141823833.

It is an arithmetic number, because the mean of its divisors is an integer number (1478400000).

Almost surely, 2^249466576086 is an apocalyptic number.

249466576086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 249466576086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378470400000).

249466576086 is an abundant number, since it is smaller than the sum of its proper divisors (507474223914).

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

249466576086 is a wasteful number, since it uses less digits than its factorization.

249466576086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 249466576086 in words is "two hundred forty-nine billion, four hundred sixty-six million, five hundred seventy-six thousand, eighty-six".