42723165399616 has 189 divisors, whose sum is σ = 97546024715409. Its totient is φ = 18553459212288.

The previous prime is 42723165399601. The next prime is 42723165399617. The reversal of 42723165399616 is 61699356132724.

The square root of 42723165399616 is 6536296.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 40895001806400 + 1828163593216 = 6394920^2 + 1352096^2 .

It is a super-3 number, since 3×42723165399616³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42723165399617) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11556169480 + ... + 11556173176.

Almost surely, 2^{42723165399616} is an apocalyptic number.

42723165399616 is the 6536296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42723165399616

42723165399616 is an abundant number, since it is smaller than the sum of its proper divisors (54822859315793).

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

42723165399616 is an frugal number, since it uses more digits than its factorization.

42723165399616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7466 (or 3729 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 64.

42723165399616 divided by its sum of digits (64) gives a square (667549459369 = 817037²).

The spelling of 42723165399616 in words is "forty-two trillion, seven hundred twenty-three billion, one hundred sixty-five million, three hundred ninety-nine thousand, six hundred sixteen".