35149101830304 has 768 divisors, whose sum is σ = 125090275000320. Its totient is φ = 8362544578560.

The previous prime is 35149101830299. The next prime is 35149101830341. The reversal of 35149101830304 is 40303810194153.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1057194609 + ... + 1057227855.

It is an arithmetic number, because the mean of its divisors is an integer number (162877962240).

Almost surely, 2^{35149101830304} is an apocalyptic number.

35149101830304 is a gapful number since it is divisible by the number (34) 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 35149101830304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62545137500160).

35149101830304 is an abundant number, since it is smaller than the sum of its proper divisors (89941173170016).

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

35149101830304 is a wasteful number, since it uses less digits than its factorization.

35149101830304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33521 (or 33513 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 35149101830304 in words is "thirty-five trillion, one hundred forty-nine billion, one hundred one million, eight hundred thirty thousand, three hundred four".