46435552360560 has 480 divisors, whose sum is σ = 174246400373760. Its totient is φ = 10987338700800.

The previous prime is 46435552360541. The next prime is 46435552360583. The reversal of 46435552360560 is 6506325553464.

It is a happy number.

46435552360560 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 5 + 5 + 5 + 23 + 605 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46435552360497 and 46435552360506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57438345 + ... + 58241175.

It is an arithmetic number, because the mean of its divisors is an integer number (363013334112).

Almost surely, 2^{46435552360560} is an apocalyptic number.

46435552360560 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 46435552360560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87123200186880).

46435552360560 is an abundant number, since it is smaller than the sum of its proper divisors (127810848013200).

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

46435552360560 is a wasteful number, since it uses less digits than its factorization.

46435552360560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803037 (or 803028 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 54.

The spelling of 46435552360560 in words is "forty-six trillion, four hundred thirty-five billion, five hundred fifty-two million, three hundred sixty thousand, five hundred sixty".