274960388383968 has 384 divisors, whose sum is σ = 852331455360000. Its totient is φ = 77571690577920.

The previous prime is 274960388383949. The next prime is 274960388383969. The reversal of 274960388383968 is 869383883069472.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274960388383969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2165644008 + ... + 2165770968.

It is an arithmetic number, because the mean of its divisors is an integer number (2219613165000).

Almost surely, 2^{274960388383968} is an apocalyptic number.

274960388383968 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 274960388383968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426165727680000).

274960388383968 is an abundant number, since it is smaller than the sum of its proper divisors (577371066976032).

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

274960388383968 is a wasteful number, since it uses less digits than its factorization.

274960388383968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127823 (or 127801 counting only the distinct ones).

The product of its (nonzero) digits is 18059231232, while the sum is 84.

The spelling of 274960388383968 in words is "two hundred seventy-four trillion, nine hundred sixty billion, three hundred eighty-eight million, three hundred eighty-three thousand, nine hundred sixty-eight".