1016935098624 has 405 divisors, whose sum is σ = 3119139425017. Its totient is φ = 329539442688.

The previous prime is 1016935098593. The next prime is 1016935098637. The reversal of 1016935098624 is 4268905396101.

The square root of 1016935098624 is 1008432.

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

1016935098624 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 9 + 3 + 5 + 0 + 9 + 8 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119140948224 + 897794150400 = 345168^2 + 947520^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

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, 6825067702 + ... + 6825067850.

Almost surely, 2^{1016935098624} is an apocalyptic number.

1016935098624 is the 1008432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016935098624

1016935098624 is an abundant number, since it is smaller than the sum of its proper divisors (2102204326393).

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

1016935098624 is an frugal number, since it uses more digits than its factorization.

1016935098624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1016935098624 in words is "one trillion, sixteen billion, nine hundred thirty-five million, ninety-eight thousand, six hundred twenty-four".