1872427964814 has 192 divisors, whose sum is σ = 4645121713920. Its totient is φ = 554342564160.

The previous prime is 1872427964801. The next prime is 1872427964831. The reversal of 1872427964814 is 4184697242781.

1872427964814 is a `hidden beast` number, since 1 + 8 + 72 + 427 + 9 + 64 + 81 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 641900484 + ... + 641903400.

It is an arithmetic number, because the mean of its divisors is an integer number (24193342260).

Almost surely, 2^{1872427964814} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1872427964814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322560856960).

1872427964814 is an abundant number, since it is smaller than the sum of its proper divisors (2772693749106).

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

1872427964814 is a wasteful number, since it uses less digits than its factorization.

1872427964814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3127 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 1872427964814 in words is "one trillion, eight hundred seventy-two billion, four hundred twenty-seven million, nine hundred sixty-four thousand, eight hundred fourteen".