1840477516164 has 567 divisors, whose sum is σ = 5833519433343. Its totient is φ = 506363913216.

The previous prime is 1840477516159. The next prime is 1840477516177. The reversal of 1840477516164 is 4616157740481.

It is a happy number.

The square root of 1840477516164 is 1356642.

It is a perfect power (a square), and thus also a powerful number.

1840477516164 is a `hidden beast` number, since 1 + 8 + 4 + 0 + 477 + 5 + 1 + 6 + 164 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 284470756164 + 1556006760000 = 533358^2 + 1247400^2 .

It is a tau number, because it is divible by the number of its divisors (567).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1840477516164.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 18973994964 + ... + 18973995060.

Almost surely, 2^{1840477516164} is an apocalyptic number.

1840477516164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1840477516164 is the 1356642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1840477516164

1840477516164 is an abundant number, since it is smaller than the sum of its proper divisors (3993041917179).

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

1840477516164 is an frugal number, since it uses more digits than its factorization.

1840477516164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1840477516164 in words is "one trillion, eight hundred forty billion, four hundred seventy-seven million, five hundred sixteen thousand, one hundred sixty-four".