84154197456 has 160 divisors (see below), whose sum is σ = 276740422400. Its totient is φ = 23984916480.

The previous prime is 84154197451. The next prime is 84154197467. The reversal of 84154197456 is 65479145148.

84154197456 is a `hidden beast` number, since 8 + 4 + 1 + 541 + 97 + 4 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84154197451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1202796 + ... + 1270836.

It is an arithmetic number, because the mean of its divisors is an integer number (1729627640).

Almost surely, 2^84154197456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84154197456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138370211200).

84154197456 is an abundant number, since it is smaller than the sum of its proper divisors (192586224944).

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

84154197456 is a wasteful number, since it uses less digits than its factorization.

84154197456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68474 (or 68462 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 84154197456 in words is "eighty-four billion, one hundred fifty-four million, one hundred ninety-seven thousand, four hundred fifty-six".