6134014656 has 560 divisors, whose sum is σ = 23037222912. Its totient is φ = 1580705280.

The previous prime is 6134014651. The next prime is 6134014661. The reversal of 6134014656 is 6564104316.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6134014651) and next prime (6134014661).

It is a super-2 number, since 2×6134014656² = 75252271600045596672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6134014656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6134014651) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48299265 + ... + 48299391.

Almost surely, 2^6134014656 is an apocalyptic number.

6134014656 is a gapful number since it is divisible by the number (66) 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 6134014656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11518611456).

6134014656 is an abundant number, since it is smaller than the sum of its proper divisors (16903208256).

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

6134014656 is a wasteful number, since it uses less digits than its factorization.

6134014656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6134014656 is about 78319.9505617821. The cubic root of 6134014656 is about 1830.5500308482.

The spelling of 6134014656 in words is "six billion, one hundred thirty-four million, fourteen thousand, six hundred fifty-six".