83752081147638 has 128 divisors (see below), whose sum is σ = 198350780313600. Its totient is φ = 26133954840576.

The previous prime is 83752081147633. The next prime is 83752081147663. The reversal of 83752081147638 is 83674118025738.

It is a happy number.

83752081147638 is a `hidden beast` number, since 8 + 3 + 7 + 52 + 0 + 81 + 1 + 476 + 38 = 666.

It is a super-2 number, since 2×83752081147638² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83752081147633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1623296770 + ... + 1623348362.

It is an arithmetic number, because the mean of its divisors is an integer number (1549615471200).

Almost surely, 2^{83752081147638} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83752081147638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99175390156800).

83752081147638 is an abundant number, since it is smaller than the sum of its proper divisors (114598699165962).

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

83752081147638 is a wasteful number, since it uses less digits than its factorization.

83752081147638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79483 (or 79477 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 83752081147638 in words is "eighty-three trillion, seven hundred fifty-two billion, eighty-one million, one hundred forty-seven thousand, six hundred thirty-eight".