46200349650 has 576 divisors, whose sum is σ = 152141690880. Its totient is φ = 9057484800.

The previous prime is 46200349627. The next prime is 46200349667. The reversal of 46200349650 is 5694300264.

It is a Harshad number since it is a multiple of its sum of digits (39).

46200349650 is a modest number, since divided by 349650 gives 46200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 46200349599 and 46200349608.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 239379954 + ... + 239380146.

It is an arithmetic number, because the mean of its divisors is an integer number (264134880).

Almost surely, 2^46200349650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46200349650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76070845440).

46200349650 is an abundant number, since it is smaller than the sum of its proper divisors (105941341230).

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

46200349650 is a wasteful number, since it uses less digits than its factorization.

46200349650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 46200349650 in words is "forty-six billion, two hundred million, three hundred forty-nine thousand, six hundred fifty".