83881505943144 has 768 divisors, whose sum is σ = 302753474150400. Its totient is φ = 20370706329600.

The previous prime is 83881505943143. The next prime is 83881505943161. The reversal of 83881505943144 is 44134950518838.

It is a happy number.

83881505943144 is a `hidden beast` number, since 8 + 3 + 8 + 8 + 1 + 5 + 0 + 594 + 31 + 4 + 4 = 666.

It is a super-2 number, since 2×83881505943144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (83881505943143) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 892224012 + ... + 892318020.

It is an arithmetic number, because the mean of its divisors is an integer number (394210252800).

Almost surely, 2^{83881505943144} is an apocalyptic number.

83881505943144 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 83881505943144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151376737075200).

83881505943144 is an abundant number, since it is smaller than the sum of its proper divisors (218871968207256).

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

83881505943144 is a wasteful number, since it uses less digits than its factorization.

83881505943144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94286 (or 94279 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 83881505943144 in words is "eighty-three trillion, eight hundred eighty-one billion, five hundred five million, nine hundred forty-three thousand, one hundred forty-four".