274481824116000 has 384 divisors, whose sum is σ = 901631428588800. Its totient is φ = 72997680537600.

The previous prime is 274481824115981. The next prime is 274481824116023. The reversal of 274481824116000 is 611428184472.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7462985611 + ... + 7463022389.

It is an arithmetic number, because the mean of its divisors is an integer number (2347998511950).

Almost surely, 2^{274481824116000} is an apocalyptic number.

274481824116000 is a gapful number since it is divisible by the number (20) 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 274481824116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450815714294400).

274481824116000 is an abundant number, since it is smaller than the sum of its proper divisors (627149604472800).

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

274481824116000 is a wasteful number, since it uses less digits than its factorization.

274481824116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38469 (or 38451 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 274481824116000 in words is "two hundred seventy-four trillion, four hundred eighty-one billion, eight hundred twenty-four million, one hundred sixteen thousand".