634434141434436 has 96 divisors (see below), whose sum is σ = 1883830142638080. Its totient is φ = 180878745637152.

The previous prime is 634434141434419. The next prime is 634434141434453.

634434141434436 is a `hidden beast` number, since 6 + 3 + 4 + 4 + 34 + 141 + 4 + 34 + 436 = 666.

634434141434436 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (634434141434419) and next prime (634434141434453).

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 31 ways as a sum of consecutive naturals, for example, 898146520 + ... + 898852623.

It is an arithmetic number, because the mean of its divisors is an integer number (19623230652480).

Almost surely, 2^{634434141434436} is an apocalyptic number.

It is an amenable number.

634434141434436 is an abundant number, since it is smaller than the sum of its proper divisors (1249396001203644).

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

634434141434436 is a wasteful number, since it uses less digits than its factorization.

634434141434436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796999630 (or 1796999622 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 634434141434436 in words is "six hundred thirty-four trillion, four hundred thirty-four billion, one hundred forty-one million, four hundred thirty-four thousand, four hundred thirty-six".