46023350106000 has 320 divisors, whose sum is σ = 155228756866560. Its totient is φ = 11709097523200.

The previous prime is 46023350105989. The next prime is 46023350106007. The reversal of 46023350106000 is 60105332064.

It is a super-2 number, since 2×46023350106000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (46023350106007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53253334 + ... + 54110666.

It is an arithmetic number, because the mean of its divisors is an integer number (485089865208).

Almost surely, 2^{46023350106000} is an apocalyptic number.

46023350106000 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 46023350106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77614378433280).

46023350106000 is an abundant number, since it is smaller than the sum of its proper divisors (109205406760560).

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

46023350106000 is a wasteful number, since it uses less digits than its factorization.

46023350106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857771 (or 857755 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 46023350106000 its reverse (60105332064), we get a palindrome (46083455438064).

The spelling of 46023350106000 in words is "forty-six trillion, twenty-three billion, three hundred fifty million, one hundred six thousand".