849429504000 has 3360 divisors, whose sum is σ = 4230478549440. Its totient is φ = 167215104000.

The previous prime is 849429503999. The next prime is 849429504029. The reversal of 849429504000 is 405924948.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44706815991 + ... + 44706816009.

Almost surely, 2^849429504000 is an apocalyptic number.

849429504000 is a gapful number since it is divisible by the number (80) 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 849429504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115239274720).

849429504000 is an abundant number, since it is smaller than the sum of its proper divisors (3381049045440).

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

849429504000 is a wasteful number, since it uses less digits than its factorization.

849429504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 849429504000 in words is "eight hundred forty-nine billion, four hundred twenty-nine million, five hundred four thousand".