249138467754 has 64 divisors (see below), whose sum is σ = 558266567040. Its totient is φ = 73465472000.

The previous prime is 249138467717. The next prime is 249138467801. The reversal of 249138467754 is 457764831942.

249138467754 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×249138467754² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934294 + ... + 1170974.

It is an arithmetic number, because the mean of its divisors is an integer number (8722915110).

Almost surely, 2^249138467754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249138467754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279133283520).

249138467754 is an abundant number, since it is smaller than the sum of its proper divisors (309128099286).

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

249138467754 is a wasteful number, since it uses less digits than its factorization.

249138467754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237127.

The product of its digits is 40642560, while the sum is 60.

The spelling of 249138467754 in words is "two hundred forty-nine billion, one hundred thirty-eight million, four hundred sixty-seven thousand, seven hundred fifty-four".