1522746128016 has 405 divisors, whose sum is σ = 4750447066729. Its totient is φ = 455216188416.

The previous prime is 1522746128003. The next prime is 1522746128041. The reversal of 1522746128016 is 6108216472251.

The square root of 1522746128016 is 1233996.

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

1522746128016 is a `hidden beast` number, since 1 + 5 + 2 + 27 + 4 + 612 + 8 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1185528992400 + 337217135616 = 1088820^2 + 580704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5789909101 + ... + 5789909363.

Almost surely, 2^{1522746128016} is an apocalyptic number.

1522746128016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1522746128016 is the 1233996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1522746128016

1522746128016 is an abundant number, since it is smaller than the sum of its proper divisors (3227700938713).

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

1522746128016 is a wasteful number, since it uses less digits than its factorization.

1522746128016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1522746128016 in words is "one trillion, five hundred twenty-two billion, seven hundred forty-six million, one hundred twenty-eight thousand, sixteen".