46397009568 has 768 divisors, whose sum is σ = 166471925760. Its totient is φ = 10973491200.

The previous prime is 46397009563. The next prime is 46397009623. The reversal of 46397009568 is 86590079364.

It is a happy number.

46397009568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (46397009563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 365330721 + ... + 365330847.

It is an arithmetic number, because the mean of its divisors is an integer number (216760320).

Almost surely, 2^46397009568 is an apocalyptic number.

46397009568 is a gapful number since it is divisible by the number (48) 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 46397009568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83235962880).

46397009568 is an abundant number, since it is smaller than the sum of its proper divisors (120074916192).

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

46397009568 is a wasteful number, since it uses less digits than its factorization.

46397009568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 46397009568 in words is "forty-six billion, three hundred ninety-seven million, nine thousand, five hundred sixty-eight".