30101770034064 has 315 divisors, whose sum is σ = 89935976276643. Its totient is φ = 9755625712896.

The previous prime is 30101770034051. The next prime is 30101770034113. The reversal of 30101770034064 is 46043007710103.

The square root of 30101770034064 is 5486508.

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

30101770034064 is a `hidden beast` number, since 301 + 0 + 1 + 7 + 7 + 0 + 0 + 340 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24679950923664 + 5421819110400 = 4967892^2 + 2328480^2 .

It is a super-2 number, since 2×30101770034064² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 21924085282 + ... + 21924086654.

Almost surely, 2^{30101770034064} is an apocalyptic number.

30101770034064 is the 5486508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30101770034064

30101770034064 is an abundant number, since it is smaller than the sum of its proper divisors (59834206242579).

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

30101770034064 is an frugal number, since it uses more digits than its factorization.

30101770034064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

30101770034064 divided by its sum of digits (36) gives a square (836160278724 = 914418²).

Adding to 30101770034064 its reverse (46043007710103), we get a palindrome (76144777744167).

The spelling of 30101770034064 in words is "thirty trillion, one hundred one billion, seven hundred seventy million, thirty-four thousand, sixty-four".