6145155072 has 448 divisors, whose sum is σ = 21494496000. Its totient is φ = 1755758592.

The previous prime is 6145155059. The next prime is 6145155083. The reversal of 6145155072 is 2705515416.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6145155072 is a `hidden beast` number, since 6 + 145 + 1 + 5 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877879293 + ... + 877879299.

Almost surely, 2^6145155072 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 6145155072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10747248000).

6145155072 is an abundant number, since it is smaller than the sum of its proper divisors (15349340928).

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

6145155072 is an frugal number, since it uses more digits than its factorization.

6145155072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 6145155072 is about 78391.0394879415. The cubic root of 6145155072 is about 1831.6575575748.

Multiplying 6145155072 by its sum of digits (36), we get a cube (221225582592 = 6048³).

The spelling of 6145155072 in words is "six billion, one hundred forty-five million, one hundred fifty-five thousand, seventy-two".