83725452738 has 64 divisors (see below), whose sum is σ = 191192883840. Its totient is φ = 27138888000.

The previous prime is 83725452737. The next prime is 83725452739.

83725452738 is a `hidden beast` number, since 8 + 3 + 72 + 545 + 27 + 3 + 8 = 666.

83725452738 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (83725452737) and next prime (83725452739).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83725452737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3847288 + ... + 3868988.

It is an arithmetic number, because the mean of its divisors is an integer number (2987388810).

Almost surely, 2^83725452738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83725452738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95596441920).

83725452738 is an abundant number, since it is smaller than the sum of its proper divisors (107467431102).

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

83725452738 is a wasteful number, since it uses less digits than its factorization.

83725452738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23680 (or 23674 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 83725452738 in words is "eighty-three billion, seven hundred twenty-five million, four hundred fifty-two thousand, seven hundred thirty-eight".