46489766820120 has 768 divisors, whose sum is σ = 171719659238400. Its totient is φ = 11242072995840.

The previous prime is 46489766820089. The next prime is 46489766820131. The reversal of 46489766820120 is 2102866798464.

46489766820120 is a `hidden beast` number, since 4 + 6 + 489 + 7 + 6 + 6 + 8 + 20 + 120 = 666.

It is a super-2 number, since 2×46489766820120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7083611959 + ... + 7083618521.

It is an arithmetic number, because the mean of its divisors is an integer number (223593306300).

Almost surely, 2^{46489766820120} is an apocalyptic number.

46489766820120 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 46489766820120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85859829619200).

46489766820120 is an abundant number, since it is smaller than the sum of its proper divisors (125229892418280).

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

46489766820120 is a wasteful number, since it uses less digits than its factorization.

46489766820120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 46489766820120 in words is "forty-six trillion, four hundred eighty-nine billion, seven hundred sixty-six million, eight hundred twenty thousand, one hundred twenty".