34554191616 has 648 divisors, whose sum is σ = 124046067600. Its totient is φ = 9196830720.

The previous prime is 34554191599. The next prime is 34554191629. The reversal of 34554191616 is 61619145543.

34554191616 is a `hidden beast` number, since 3 + 4 + 5 + 541 + 91 + 6 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190907046 + ... + 190907226.

Almost surely, 2^34554191616 is an apocalyptic number.

34554191616 is a gapful number since it is divisible by the number (36) 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 34554191616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62023033800).

34554191616 is an abundant number, since it is smaller than the sum of its proper divisors (89491875984).

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

34554191616 is a wasteful number, since it uses less digits than its factorization.

34554191616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 301 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 34554191616 in words is "thirty-four billion, five hundred fifty-four million, one hundred ninety-one thousand, six hundred sixteen".