46652249280 has 336 divisors, whose sum is σ = 185560472160. Its totient is φ = 9842982912.

The previous prime is 46652249183. The next prime is 46652249297. The reversal of 46652249280 is 8294225664.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573376 + ... + 649664.

It is an arithmetic number, because the mean of its divisors is an integer number (552263310).

Almost surely, 2^46652249280 is an apocalyptic number.

46652249280 is a gapful number since it is divisible by the number (40) 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 46652249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92780236080).

46652249280 is an abundant number, since it is smaller than the sum of its proper divisors (138908222880).

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

46652249280 is a wasteful number, since it uses less digits than its factorization.

46652249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76336 (or 76319 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 46652249280 in words is "forty-six billion, six hundred fifty-two million, two hundred forty-nine thousand, two hundred eighty".