34565454000 has 1600 divisors, whose sum is σ = 165828529152. Its totient is φ = 6718464000.

The previous prime is 34565453971. The next prime is 34565454019. The reversal of 34565454000 is 45456543.

It is a super-2 number, since 2×34565454000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 319 ways as a sum of consecutive naturals, for example, 212057919 + ... + 212058081.

Almost surely, 2^34565454000 is an apocalyptic number.

34565454000 is a gapful number since it is divisible by the number (30) 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 34565454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82914264576).

34565454000 is an abundant number, since it is smaller than the sum of its proper divisors (131263075152).

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

34565454000 is a wasteful number, since it uses less digits than its factorization.

34565454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 34565454000 in words is "thirty-four billion, five hundred sixty-five million, four hundred fifty-four thousand".