6145431018048 has 672 divisors, whose sum is σ = 22337538662400. Its totient is φ = 1647230764032.

The previous prime is 6145431018037. The next prime is 6145431018107. The reversal of 6145431018048 is 8408101345416.

6145431018048 is a `hidden beast` number, since 6 + 1 + 454 + 3 + 10 + 180 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 6145431017994 and 6145431018012.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165684561 + ... + 165721647.

Almost surely, 2^{6145431018048} 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 6145431018048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11168769331200).

6145431018048 is an abundant number, since it is smaller than the sum of its proper divisors (16192107644352).

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

6145431018048 is a wasteful number, since it uses less digits than its factorization.

6145431018048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37244 (or 37221 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 6145431018048 in words is "six trillion, one hundred forty-five billion, four hundred thirty-one million, eighteen thousand, forty-eight".