83408349024 has 1920 divisors, whose sum is σ = 365880582144. Its totient is φ = 17915904000.

The previous prime is 83408349001. The next prime is 83408349049. The reversal of 83408349024 is 42094380438.

83408349024 is a `hidden beast` number, since 83 + 4 + 0 + 83 + 490 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1367349954 + ... + 1367350014.

Almost surely, 2^83408349024 is an apocalyptic number.

83408349024 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83408349024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182940291072).

83408349024 is an abundant number, since it is smaller than the sum of its proper divisors (282472233120).

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

83408349024 is a wasteful number, since it uses less digits than its factorization.

83408349024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 83408349024 in words is "eighty-three billion, four hundred eight million, three hundred forty-nine thousand, twenty-four".