1864669248 has 336 divisors, whose sum is σ = 6244108416. Its totient is φ = 547430400.

The previous prime is 1864669201. The next prime is 1864669277. The reversal of 1864669248 is 8429664681.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 1864669194 and 1864669203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4649848 + ... + 4650248.

It is an arithmetic number, because the mean of its divisors is an integer number (18583656).

Almost surely, 2^1864669248 is an apocalyptic number.

1864669248 is a gapful number since it is divisible by the number (18) 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 1864669248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122054208).

1864669248 is an abundant number, since it is smaller than the sum of its proper divisors (4379439168).

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

1864669248 is a wasteful number, since it uses less digits than its factorization.

1864669248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 442 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 1864669248 is about 43181.8161730143. The cubic root of 1864669248 is about 1230.8371695125.

The spelling of 1864669248 in words is "one billion, eight hundred sixty-four million, six hundred sixty-nine thousand, two hundred forty-eight".