1864412849376 has 324 divisors, whose sum is σ = 6779207785896. Its totient is φ = 484262634240.

The previous prime is 1864412849297. The next prime is 1864412849393. The reversal of 1864412849376 is 6739482144681.

1864412849376 is a `hidden beast` number, since 1 + 8 + 64 + 4 + 12 + 8 + 493 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1161621 + ... + 2253483.

Almost surely, 2^{1864412849376} is an apocalyptic number.

1864412849376 is a gapful number since it is divisible by the number (16) 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 1864412849376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389603892948).

1864412849376 is an abundant number, since it is smaller than the sum of its proper divisors (4914794936520).

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

1864412849376 is a wasteful number, since it uses less digits than its factorization.

1864412849376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091915 (or 1091886 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 1864412849376 in words is "one trillion, eight hundred sixty-four billion, four hundred twelve million, eight hundred forty-nine thousand, three hundred seventy-six".