46826446099680 has 1728 divisors, whose sum is σ = 189870178680000. Its totient is φ = 10462240309248.

The previous prime is 46826446099673. The next prime is 46826446099703. The reversal of 46826446099680 is 8699064462864.

46826446099680 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 6 + 4 + 4 + 609 + 9 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×46826446099680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 46826446099599 and 46826446099608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18370515046 + ... + 18370517594.

It is an arithmetic number, because the mean of its divisors is an integer number (109878575625).

Almost surely, 2^{46826446099680} is an apocalyptic number.

46826446099680 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 46826446099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94935089340000).

46826446099680 is an abundant number, since it is smaller than the sum of its proper divisors (143043732580320).

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

46826446099680 is a wasteful number, since it uses less digits than its factorization.

46826446099680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 859963392, while the sum is 72.

The spelling of 46826446099680 in words is "forty-six trillion, eight hundred twenty-six billion, four hundred forty-six million, ninety-nine thousand, six hundred eighty".