1010162967744 has 224 divisors, whose sum is σ = 3080284416000. Its totient is φ = 286195875840.

The previous prime is 1010162967721. The next prime is 1010162967757. The reversal of 1010162967744 is 4477692610101.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1010162967693 and 1010162967702.

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 31 ways as a sum of consecutive naturals, for example, 77406532 + ... + 77419580.

Almost surely, 2^{1010162967744} is an apocalyptic number.

1010162967744 is a gapful number since it is divisible by the number (14) 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 1010162967744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540142208000).

1010162967744 is an abundant number, since it is smaller than the sum of its proper divisors (2070121448256).

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

1010162967744 is a wasteful number, since it uses less digits than its factorization.

1010162967744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13551 (or 13541 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 1010162967744 in words is "one trillion, ten billion, one hundred sixty-two million, nine hundred sixty-seven thousand, seven hundred forty-four".