36151695466384 has 135 divisors (see below), whose sum is σ = 77086004270457. Its totient is φ = 16420535169024.

The previous prime is 36151695466373. The next prime is 36151695466409. The reversal of 36151695466384 is 48366459615163.

It is a happy number.

The square root of 36151695466384 is 6012628.

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

36151695466384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 22759960147600 + 13391735318784 = 4770740^2 + 3659472^2 .

It is a super-3 number, since 3×36151695466384³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 11856900892 + ... + 11856903940.

Almost surely, 2^{36151695466384} is an apocalyptic number.

36151695466384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

36151695466384 is the 6012628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36151695466384

36151695466384 is an abundant number, since it is smaller than the sum of its proper divisors (40934308804073).

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

36151695466384 is an frugal number, since it uses more digits than its factorization.

36151695466384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198 (or 3097 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 67.

The spelling of 36151695466384 in words is "thirty-six trillion, one hundred fifty-one billion, six hundred ninety-five million, four hundred sixty-six thousand, three hundred eighty-four".