1864441485072 has 480 divisors, whose sum is σ = 5964434251776. Its totient is φ = 561868876800.

The previous prime is 1864441484987. The next prime is 1864441485079. The reversal of 1864441485072 is 2705841444681.

1864441485072 is a `hidden beast` number, since 1 + 8 + 6 + 444 + 148 + 50 + 7 + 2 = 666.

It is a super-2 number, since 2×1864441485072² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1864441485079) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119194372 + ... + 119210012.

Almost surely, 2^{1864441485072} is an apocalyptic number.

1864441485072 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 1864441485072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982217125888).

1864441485072 is an abundant number, since it is smaller than the sum of its proper divisors (4099992766704).

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

1864441485072 is a wasteful number, since it uses less digits than its factorization.

1864441485072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15761 (or 15743 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 1864441485072 in words is "one trillion, eight hundred sixty-four billion, four hundred forty-one million, four hundred eighty-five thousand, seventy-two".