1834984507456 has 21 divisors (see below), whose sum is σ = 3641318886639. Its totient is φ = 917486835264.

The previous prime is 1834984507429. The next prime is 1834984507481. The reversal of 1834984507456 is 6547054894381.

The square root of 1834984507456 is 1354616.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10752265 + ... + 10921591.

It is an arithmetic number, because the mean of its divisors is an integer number (173396137459).

Almost surely, 2^{1834984507456} is an apocalyptic number.

1834984507456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1834984507456 is the 1354616-th square number.

It is an amenable number.

1834984507456 is a deficient number, since it is larger than the sum of its proper divisors (1806334379183).

1834984507456 is an frugal number, since it uses more digits than its factorization.

1834984507456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338666 (or 169329 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 64.

Multiplying 1834984507456 by its sum of digits (64), we get a square (117439008477184 = 10836928²).

1834984507456 divided by its sum of digits (64) gives a square (28671632929 = 169327²).

The spelling of 1834984507456 in words is "one trillion, eight hundred thirty-four billion, nine hundred eighty-four million, five hundred seven thousand, four hundred fifty-six".