1864528968204 has 288 divisors, whose sum is σ = 5657807232000. Its totient is φ = 529451814528.

The previous prime is 1864528968187. The next prime is 1864528968221. The reversal of 1864528968204 is 4028698254681.

1864528968204 is a `hidden beast` number, since 1 + 86 + 4 + 528 + 9 + 6 + 8 + 20 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1864528968187) and next prime (1864528968221).

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

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 95 ways as a sum of consecutive naturals, for example, 833494174 + ... + 833496410.

It is an arithmetic number, because the mean of its divisors is an integer number (19645164000).

Almost surely, 2^{1864528968204} is an apocalyptic number.

1864528968204 is a gapful number since it is divisible by the number (14) 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 1864528968204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828903616000).

1864528968204 is an abundant number, since it is smaller than the sum of its proper divisors (3793278263796).

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

1864528968204 is a wasteful number, since it uses less digits than its factorization.

1864528968204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 1864528968204 in words is "one trillion, eight hundred sixty-four billion, five hundred twenty-eight million, nine hundred sixty-eight thousand, two hundred four".