1016532744192 has 1152 divisors, whose sum is σ = 3841824168000. Its totient is φ = 263580549120.

The previous prime is 1016532744181. The next prime is 1016532744193. The reversal of 1016532744192 is 2914472356101.

1016532744192 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 532 + 74 + 41 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016532744193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1335785092 + ... + 1335785852.

Almost surely, 2^{1016532744192} is an apocalyptic number.

1016532744192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016532744192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920912084000).

1016532744192 is an abundant number, since it is smaller than the sum of its proper divisors (2825291423808).

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

1016532744192 is a wasteful number, since it uses less digits than its factorization.

1016532744192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1016532744192 in words is "one trillion, sixteen billion, five hundred thirty-two million, seven hundred forty-four thousand, one hundred ninety-two".