34545540405510 has 192 divisors, whose sum is σ = 90937468177920. Its totient is φ = 9097889379840.

The previous prime is 34545540405461. The next prime is 34545540405529. The reversal of 34545540405510 is 1550404554543.

34545540405510 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 5 + 54 + 0 + 40 + 551 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6893938905 + ... + 6893943915.

It is an arithmetic number, because the mean of its divisors is an integer number (473632646760).

Almost surely, 2^{34545540405510} is an apocalyptic number.

34545540405510 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34545540405510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45468734088960).

34545540405510 is an abundant number, since it is smaller than the sum of its proper divisors (56391927772410).

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

34545540405510 is a wasteful number, since it uses less digits than its factorization.

34545540405510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 34545540405510 in words is "thirty-four trillion, five hundred forty-five billion, five hundred forty million, four hundred five thousand, five hundred ten".