6146776416 has 96 divisors (see below), whose sum is σ = 18031579776. Its totient is φ = 1817216000.

The previous prime is 6146776357. The next prime is 6146776451.

6146776416 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27690 + ... + 114281.

It is an arithmetic number, because the mean of its divisors is an integer number (187828956).

Almost surely, 2^6146776416 is an apocalyptic number.

6146776416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6146776416 is an abundant number, since it is smaller than the sum of its proper divisors (11884803360).

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

6146776416 is a wasteful number, since it uses less digits than its factorization.

6146776416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142036 (or 142028 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 6146776416 is about 78401.3801919328. The cubic root of 6146776416 is about 1831.8186322108.

The spelling of 6146776416 in words is "six billion, one hundred forty-six million, seven hundred seventy-six thousand, four hundred sixteen".