31429035456 has 168 divisors, whose sum is σ = 102908916864. Its totient is φ = 8288916480.

The previous prime is 31429035433. The next prime is 31429035487. The reversal of 31429035456 is 65453092413.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157951 + ... + 296321.

Almost surely, 2^31429035456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31429035456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51454458432).

31429035456 is an abundant number, since it is smaller than the sum of its proper divisors (71479881408).

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

31429035456 is a wasteful number, since it uses less digits than its factorization.

31429035456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138419 (or 138396 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 31429035456 in words is "thirty-one billion, four hundred twenty-nine million, thirty-five thousand, four hundred fifty-six".