1864461312 has 132 divisors (see below), whose sum is σ = 6152888976. Its totient is φ = 532684800.

The previous prime is 1864461311. The next prime is 1864461323. The reversal of 1864461312 is 2131644681.

1864461312 is a `hidden beast` number, since 1 + 8 + 644 + 6 + 1 + 3 + 1 + 2 = 666.

It is a super-5 number, since 5×1864461312⁵ (a number of 48 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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

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

It is not an unprimeable number, because it can be changed into a prime (1864461311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50062 + ... + 78962.

Almost surely, 2^1864461312 is an apocalyptic number.

1864461312 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 1864461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076444488).

1864461312 is an abundant number, since it is smaller than the sum of its proper divisors (4288427664).

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

1864461312 is a wasteful number, since it uses less digits than its factorization.

1864461312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28934 (or 28913 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1864461312 is about 43179.4084257763. The cubic root of 1864461312 is about 1230.7914161129.

The spelling of 1864461312 in words is "one billion, eight hundred sixty-four million, four hundred sixty-one thousand, three hundred twelve".