1146936672 has 288 divisors, whose sum is σ = 4072723200. Its totient is φ = 310169088.

The previous prime is 1146936641. The next prime is 1146936673. The reversal of 1146936672 is 2766396411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146936673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033654 + ... + 1034762.

It is an arithmetic number, because the mean of its divisors is an integer number (14141400).

Almost surely, 2^1146936672 is an apocalyptic number.

1146936672 is a gapful number since it is divisible by the number (12) 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 1146936672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036361600).

1146936672 is an abundant number, since it is smaller than the sum of its proper divisors (2925786528).

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

1146936672 is a wasteful number, since it uses less digits than its factorization.

1146936672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1140 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 1146936672 is about 33866.4534901427. The cubic root of 1146936672 is about 1046.7584602217.

The spelling of 1146936672 in words is "one billion, one hundred forty-six million, nine hundred thirty-six thousand, six hundred seventy-two".