429112491696 has 320 divisors, whose sum is σ = 1516226764800. Its totient is φ = 113448916224.

The previous prime is 429112491679. The next prime is 429112491713. The reversal of 429112491696 is 696194211924.

429112491696 is a `hidden beast` number, since 4 + 2 + 91 + 1 + 2 + 491 + 69 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (429112491679) and next prime (429112491713).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2383765 + ... + 2557451.

It is an arithmetic number, because the mean of its divisors is an integer number (4738208640).

Almost surely, 2^429112491696 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 429112491696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758113382400).

429112491696 is an abundant number, since it is smaller than the sum of its proper divisors (1087114273104).

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

429112491696 is a wasteful number, since it uses less digits than its factorization.

429112491696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173773 (or 173761 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 429112491696 in words is "four hundred twenty-nine billion, one hundred twelve million, four hundred ninety-one thousand, six hundred ninety-six".