6106156514304 has 2112 divisors, whose sum is σ = 23023182422016. Its totient is φ = 1401421824000.

The previous prime is 6106156514303. The next prime is 6106156514309. The reversal of 6106156514304 is 4034156516016.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6106156514303) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83645979612 + ... + 83645979684.

Almost surely, 2^{6106156514304} is an apocalyptic number.

6106156514304 is a gapful number since it is divisible by the number (64) 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 6106156514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11511591211008).

6106156514304 is an abundant number, since it is smaller than the sum of its proper divisors (16917025907712).

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

6106156514304 is a wasteful number, since it uses less digits than its factorization.

6106156514304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 6106156514304 in words is "six trillion, one hundred six billion, one hundred fifty-six million, five hundred fourteen thousand, three hundred four".