46530209700 has 288 divisors, whose sum is σ = 164844310400. Its totient is φ = 11186864640.

The previous prime is 46530209699. The next prime is 46530209729. The reversal of 46530209700 is 790203564.

It is a super-3 number, since 3×46530209700³ (a number of 33 digits) contains 333 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1493886 + ... + 1524714.

Almost surely, 2^46530209700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46530209700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82422155200).

46530209700 is an abundant number, since it is smaller than the sum of its proper divisors (118314100700).

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

46530209700 is a wasteful number, since it uses less digits than its factorization.

46530209700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30908 (or 30895 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 46530209700 in words is "forty-six billion, five hundred thirty million, two hundred nine thousand, seven hundred".