46903836672 has 960 divisors, whose sum is σ = 185718113280. Its totient is φ = 11466178560.

The previous prime is 46903836649. The next prime is 46903836673. The reversal of 46903836672 is 27663830964.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46903836673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2759049208 + ... + 2759049224.

It is an arithmetic number, because the mean of its divisors is an integer number (193456368).

Almost surely, 2^46903836672 is an apocalyptic number.

46903836672 is a gapful number since it is divisible by the number (42) 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 46903836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92859056640).

46903836672 is an abundant number, since it is smaller than the sum of its proper divisors (138814276608).

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

46903836672 is an frugal number, since it uses more digits than its factorization.

46903836672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 46903836672 in words is "forty-six billion, nine hundred three million, eight hundred thirty-six thousand, six hundred seventy-two".