46301405652 has 192 divisors, whose sum is σ = 124271642880. Its totient is φ = 15088550400.

The previous prime is 46301405641. The next prime is 46301405671. The reversal of 46301405652 is 25650410364.

46301405652 is a `hidden beast` number, since 4 + 630 + 14 + 0 + 5 + 6 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 115464652 + ... + 115465052.

It is an arithmetic number, because the mean of its divisors is an integer number (647248140).

Almost surely, 2^46301405652 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 46301405652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62135821440).

46301405652 is an abundant number, since it is smaller than the sum of its proper divisors (77970237228).

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

46301405652 is a wasteful number, since it uses less digits than its factorization.

46301405652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 46301405652 in words is "forty-six billion, three hundred one million, four hundred five thousand, six hundred fifty-two".