202742115472516 has 81 divisors (see below), whose sum is σ = 361746754631269. Its totient is φ = 99423865410496.

The previous prime is 202742115472499. The next prime is 202742115472543. The reversal of 202742115472516 is 615274511247202.

The square root of 202742115472516 is 14238754.

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

It can be written as a sum of positive squares in only one way, i.e., 38930786218116 + 163811329254400 = 6239454^2 + 12798880^2 .

It is a super-2 number, since 2×202742115472516² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202742115472516.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 423261201165 + ... + 423261201643.

Almost surely, 2^{202742115472516} is an apocalyptic number.

202742115472516 is the 14238754-th square number.

It is an amenable number.

202742115472516 is a deficient number, since it is larger than the sum of its proper divisors (159004639158753).

202742115472516 is an frugal number, since it uses more digits than its factorization.

202742115472516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

The spelling of 202742115472516 in words is "two hundred two trillion, seven hundred forty-two billion, one hundred fifteen million, four hundred seventy-two thousand, five hundred sixteen".