1274181349504 has 128 divisors (see below), whose sum is σ = 2937102664320. Its totient is φ = 539329781760.

The previous prime is 1274181349499. The next prime is 1274181349523. The reversal of 1274181349504 is 4059431814721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1274181349504² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24155799 + ... + 24208489.

It is an arithmetic number, because the mean of its divisors is an integer number (22946114565).

Almost surely, 2^{1274181349504} is an apocalyptic number.

1274181349504 is a gapful number since it is divisible by the number (14) 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 1274181349504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468551332160).

1274181349504 is an abundant number, since it is smaller than the sum of its proper divisors (1662921314816).

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

1274181349504 is a wasteful number, since it uses less digits than its factorization.

1274181349504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53046 (or 53034 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 1274181349504 in words is "one trillion, two hundred seventy-four billion, one hundred eighty-one million, three hundred forty-nine thousand, five hundred four".