10143961715712 has 704 divisors, whose sum is σ = 31692323450880. Its totient is φ = 2850619392000.

The previous prime is 10143961715707. The next prime is 10143961715717. The reversal of 10143961715712 is 21751716934101.

It is an interprime number because it is at equal distance from previous prime (10143961715707) and next prime (10143961715717).

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143961715717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20829489933 + ... + 20829490419.

Almost surely, 2^{10143961715712} is an apocalyptic number.

10143961715712 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 10143961715712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15846161725440).

10143961715712 is an abundant number, since it is smaller than the sum of its proper divisors (21548361735168).

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

10143961715712 is a wasteful number, since it uses less digits than its factorization.

10143961715712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 48.

The spelling of 10143961715712 in words is "ten trillion, one hundred forty-three billion, nine hundred sixty-one million, seven hundred fifteen thousand, seven hundred twelve".