84254521335642 has 128 divisors (see below), whose sum is σ = 218640577536000. Its totient is φ = 24040317100464.

The previous prime is 84254521335599. The next prime is 84254521335653. The reversal of 84254521335642 is 24653312545248.

84254521335642 is a `hidden beast` number, since 8 + 4 + 2 + 5 + 45 + 2 + 1 + 33 + 564 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10700683 + ... + 16823009.

It is an arithmetic number, because the mean of its divisors is an integer number (1708129512000).

Almost surely, 2^{84254521335642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84254521335642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109320288768000).

84254521335642 is an abundant number, since it is smaller than the sum of its proper divisors (134386056200358).

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

84254521335642 is a wasteful number, since it uses less digits than its factorization.

84254521335642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6123102 (or 6123082 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 54.

The spelling of 84254521335642 in words is "eighty-four trillion, two hundred fifty-four billion, five hundred twenty-one million, three hundred thirty-five thousand, six hundred forty-two".