84005461251 has 48 divisors (see below), whose sum is σ = 124369714560. Its totient is φ = 54625259520.

The previous prime is 84005461231. The next prime is 84005461261. The reversal of 84005461251 is 15216450048.

It is a happy number.

It is not a de Polignac number, because 84005461251 - 2¹⁵ = 84005428483 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84005461231) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 70414711 + ... + 70415903.

It is an arithmetic number, because the mean of its divisors is an integer number (2591035720).

Almost surely, 2^84005461251 is an apocalyptic number.

84005461251 is a deficient number, since it is larger than the sum of its proper divisors (40364253309).

84005461251 is a wasteful number, since it uses less digits than its factorization.

84005461251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 84005461251 in words is "eighty-four billion, five million, four hundred sixty-one thousand, two hundred fifty-one".