83854259776 has 63 divisors (see below), whose sum is σ = 193602805707. Its totient is φ = 35930590080.

The previous prime is 83854259773. The next prime is 83854259779. The reversal of 83854259776 is 67795245838.

The square root of 83854259776 is 289576.

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

It is an interprime number because it is at equal distance from previous prime (83854259773) and next prime (83854259779).

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

It is a Duffinian number.

Its product of digits (101606400) is a multiple of the sum of its prime factors (10368).

It is not an unprimeable number, because it can be changed into a prime (83854259773) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16213671 + ... + 16218841.

Almost surely, 2^83854259776 is an apocalyptic number.

83854259776 is the 289576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83854259776

83854259776 is an abundant number, since it is smaller than the sum of its proper divisors (109748545931).

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

83854259776 is an frugal number, since it uses more digits than its factorization.

83854259776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368 (or 5180 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 64.

Multiplying 83854259776 by its sum of digits (64), we get a square (5366672625664 = 2316608²).

83854259776 divided by its sum of digits (64) gives a square (1310222809 = 36197²).

The spelling of 83854259776 in words is "eighty-three billion, eight hundred fifty-four million, two hundred fifty-nine thousand, seven hundred seventy-six".