46661470390080 has 1680 divisors, whose sum is σ = 208622253082320. Its totient is φ = 9812516732928.

The previous prime is 46661470390057. The next prime is 46661470390159. The reversal of 46661470390080 is 8009307416664.

It can be written as a sum of positive squares in 8 ways, for example, as 2796493641984 + 43864976748096 = 1672272^2 + 6623064^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 46661470389999 and 46661470390026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5167951006 + ... + 5167960034.

It is an arithmetic number, because the mean of its divisors is an integer number (124179912549).

Almost surely, 2^{46661470390080} is an apocalyptic number.

46661470390080 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 46661470390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104311126541160).

46661470390080 is an abundant number, since it is smaller than the sum of its proper divisors (161960782692240).

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

46661470390080 is a wasteful number, since it uses less digits than its factorization.

46661470390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9398 (or 9372 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 46661470390080 in words is "forty-six trillion, six hundred sixty-one billion, four hundred seventy million, three hundred ninety thousand, eighty".