434081694816 has 384 divisors, whose sum is σ = 1632916454400. Its totient is φ = 108860129280.

The previous prime is 434081694803. The next prime is 434081694833. The reversal of 434081694816 is 618496180434.

434081694816 is a `hidden beast` number, since 43 + 40 + 81 + 6 + 9 + 481 + 6 = 666.

It is a super-2 number, since 2×434081694816² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 1816816 + ... + 2041808.

It is an arithmetic number, because the mean of its divisors is an integer number (4252386600).

Almost surely, 2^434081694816 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 434081694816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816458227200).

434081694816 is an abundant number, since it is smaller than the sum of its proper divisors (1198834759584).

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

434081694816 is a wasteful number, since it uses less digits than its factorization.

434081694816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225059 (or 225045 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 434081694816 in words is "four hundred thirty-four billion, eighty-one million, six hundred ninety-four thousand, eight hundred sixteen".