30274781481504 has 432 divisors, whose sum is σ = 106753050495000. Its totient is φ = 8086469787648.

The previous prime is 30274781481481. The next prime is 30274781481517. The reversal of 30274781481504 is 40518418747203.

30274781481504 is a `hidden beast` number, since 3 + 0 + 2 + 7 + 47 + 8 + 14 + 81 + 504 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29676912313104 + 597869168400 = 5447652^2 + 773220^2 .

It is a super-3 number, since 3×30274781481504³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35322222 + ... + 36169170.

Almost surely, 2^{30274781481504} is an apocalyptic number.

30274781481504 is a gapful number since it is divisible by the number (34) 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 30274781481504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53376525247500).

30274781481504 is an abundant number, since it is smaller than the sum of its proper divisors (76478269013496).

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

30274781481504 is a wasteful number, since it uses less digits than its factorization.

30274781481504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847145 (or 847127 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 30274781481504 in words is "thirty trillion, two hundred seventy-four billion, seven hundred eighty-one million, four hundred eighty-one thousand, five hundred four".