83353877152 has 144 divisors (see below), whose sum is σ = 203648256000. Its totient is φ = 32883342336.

The previous prime is 83353877149. The next prime is 83353877179. The reversal of 83353877152 is 25177835338.

It is a super-2 number, since 2×83353877152² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 83353877152.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14495974 + ... + 14501722.

It is an arithmetic number, because the mean of its divisors is an integer number (1414224000).

Almost surely, 2^83353877152 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 83353877152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101824128000).

83353877152 is an abundant number, since it is smaller than the sum of its proper divisors (120294378848).

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

83353877152 is a wasteful number, since it uses less digits than its factorization.

83353877152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6175 (or 6154 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 52.

The spelling of 83353877152 in words is "eighty-three billion, three hundred fifty-three million, eight hundred seventy-seven thousand, one hundred fifty-two".