83754470016 has 256 divisors, whose sum is σ = 284548992000. Its totient is φ = 23756737536.

The previous prime is 83754470003. The next prime is 83754470071. The reversal of 83754470016 is 61007445738.

83754470016 is a `hidden beast` number, since 8 + 37 + 544 + 70 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×83754470016² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3350235 + ... + 3375141.

It is an arithmetic number, because the mean of its divisors is an integer number (1111519500).

Almost surely, 2^83754470016 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 83754470016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142274496000).

83754470016 is an abundant number, since it is smaller than the sum of its proper divisors (200794521984).

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

83754470016 is a wasteful number, since it uses less digits than its factorization.

83754470016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25076 (or 25058 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 83754470016 in words is "eighty-three billion, seven hundred fifty-four million, four hundred seventy thousand, sixteen".