1520022683664 has 225 divisors, whose sum is σ = 4602071453133. Its totient is φ = 484319430144.

The previous prime is 1520022683653. The next prime is 1520022683693. The reversal of 1520022683664 is 4663862200251.

The square root of 1520022683664 is 1232892.

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

1520022683664 is a `hidden beast` number, since 1 + 5 + 20 + 0 + 2 + 268 + 366 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 325461122064 + 1194561561600 = 570492^2 + 1092960^2 .

It is a super-2 number, since 2×1520022683664² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1020833832 + ... + 1020835320.

Almost surely, 2^{1520022683664} is an apocalyptic number.

1520022683664 is the 1232892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1520022683664

1520022683664 is an abundant number, since it is smaller than the sum of its proper divisors (3082048769469).

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

1520022683664 is an frugal number, since it uses more digits than its factorization.

1520022683664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1520022683664 in words is "one trillion, five hundred twenty billion, twenty-two million, six hundred eighty-three thousand, six hundred sixty-four".