83774996987136 has 2592 divisors, whose sum is σ = 306530646589440. Its totient is φ = 20177177739264.

The previous prime is 83774996987111. The next prime is 83774996987159. The reversal of 83774996987136 is 63178969947738.

83774996987136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 659645645505 + ... + 659645645631.

It is an arithmetic number, because the mean of its divisors is an integer number (118260280320).

Almost surely, 2^{83774996987136} 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 83774996987136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153265323294720).

83774996987136 is an abundant number, since it is smaller than the sum of its proper divisors (222755649602304).

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

83774996987136 is a wasteful number, since it uses less digits than its factorization.

83774996987136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 327 counting only the distinct ones).

The product of its digits is 20739898368, while the sum is 87.

The spelling of 83774996987136 in words is "eighty-three trillion, seven hundred seventy-four billion, nine hundred ninety-six million, nine hundred eighty-seven thousand, one hundred thirty-six".