46435243680 has 768 divisors, whose sum is σ = 190625218560. Its totient is φ = 10339467264.

The previous prime is 46435243633. The next prime is 46435243681. The reversal of 46435243680 is 8634253464.

46435243680 is a `hidden beast` number, since 4 + 6 + 43 + 524 + 3 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46435243681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 365631777 + ... + 365631903.

It is an arithmetic number, because the mean of its divisors is an integer number (248209920).

Almost surely, 2^46435243680 is an apocalyptic number.

46435243680 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 46435243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95312609280).

46435243680 is an abundant number, since it is smaller than the sum of its proper divisors (144189974880).

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

46435243680 is a wasteful number, since it uses less digits than its factorization.

46435243680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 46435243680 in words is "forty-six billion, four hundred thirty-five million, two hundred forty-three thousand, six hundred eighty".