274114733664 has 192 divisors, whose sum is σ = 749158502400. Its totient is φ = 87699763200.

The previous prime is 274114733663. The next prime is 274114733701. The reversal of 274114733664 is 466337411472.

274114733664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274114733663) by changing a digit.

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, 57116737 + ... + 57121535.

It is an arithmetic number, because the mean of its divisors is an integer number (3901867200).

Almost surely, 2^274114733664 is an apocalyptic number.

274114733664 is a gapful number since it is divisible by the number (24) 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 274114733664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374579251200).

274114733664 is an abundant number, since it is smaller than the sum of its proper divisors (475043768736).

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

274114733664 is a wasteful number, since it uses less digits than its factorization.

274114733664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5085 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 48.

The spelling of 274114733664 in words is "two hundred seventy-four billion, one hundred fourteen million, seven hundred thirty-three thousand, six hundred sixty-four".