270994146048 has 576 divisors, whose sum is σ = 893015424000. Its totient is φ = 80669343744.

The previous prime is 270994146043. The next prime is 270994146077. The reversal of 270994146048 is 840641499072.

270994146048 is a `hidden beast` number, since 27 + 0 + 9 + 9 + 4 + 1 + 4 + 604 + 8 = 666.

270994146048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 270994145985 and 270994146003.

It is not an unprimeable number, because it can be changed into a prime (270994146043) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 220499098 + ... + 220500326.

It is an arithmetic number, because the mean of its divisors is an integer number (1550374000).

Almost surely, 2^270994146048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270994146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446507712000).

270994146048 is an abundant number, since it is smaller than the sum of its proper divisors (622021277952).

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

270994146048 is a wasteful number, since it uses less digits than its factorization.

270994146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 270994146048 in words is "two hundred seventy billion, nine hundred ninety-four million, one hundred forty-six thousand, forty-eight".