142966073952 has 768 divisors, whose sum is σ = 505695052800. Its totient is φ = 38817792000.

The previous prime is 142966073923. The next prime is 142966073953. The reversal of 142966073952 is 259370669241.

142966073952 is a `hidden beast` number, since 1 + 4 + 29 + 6 + 607 + 3 + 9 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142966073953) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 569585827 + ... + 569586077.

It is an arithmetic number, because the mean of its divisors is an integer number (658457100).

Almost surely, 2^142966073952 is an apocalyptic number.

142966073952 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 142966073952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252847526400).

142966073952 is an abundant number, since it is smaller than the sum of its proper divisors (362728978848).

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

142966073952 is a wasteful number, since it uses less digits than its factorization.

142966073952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 142966073952 in words is "one hundred forty-two billion, nine hundred sixty-six million, seventy-three thousand, nine hundred fifty-two".