1014564649536 has 63 divisors (see below), whose sum is σ = 2908135675081. Its totient is φ = 338180158464.

The previous prime is 1014564649513. The next prime is 1014564649547. The reversal of 1014564649536 is 6359464654101.

The square root of 1014564649536 is 1007256.

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

1014564649536 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 64 + 6 + 49 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 403916175936 + 610648473600 = 635544^2 + 781440^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 24153160 + ... + 24195128.

Almost surely, 2^{1014564649536} is an apocalyptic number.

1014564649536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1014564649536 is the 1007256-th square number.

It is an amenable number.

1014564649536 is an abundant number, since it is smaller than the sum of its proper divisors (1893571025545).

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

1014564649536 is an frugal number, since it uses more digits than its factorization.

1014564649536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83956 (or 41974 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

It can be divided in two parts, 1014564 and 649536, that added together give a square (1664100 = 1290²).

The spelling of 1014564649536 in words is "one trillion, fourteen billion, five hundred sixty-four million, six hundred forty-nine thousand, five hundred thirty-six".