46860206581440 has 1792 divisors, whose sum is σ = 202101419520000. Its totient is φ = 10205509386240.

The previous prime is 46860206581423. The next prime is 46860206581471. The reversal of 46860206581440 is 4418560206864.

46860206581440 is a `hidden beast` number, since 4 + 6 + 8 + 60 + 2 + 0 + 65 + 81 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5224681276 + ... + 5224690244.

It is an arithmetic number, because the mean of its divisors is an integer number (112779810000).

Almost surely, 2^{46860206581440} is an apocalyptic number.

46860206581440 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 46860206581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101050709760000).

46860206581440 is an abundant number, since it is smaller than the sum of its proper divisors (155241212938560).

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

46860206581440 is a wasteful number, since it uses less digits than its factorization.

46860206581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100 (or 9070 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 46860206581440 in words is "forty-six trillion, eight hundred sixty billion, two hundred six million, five hundred eighty-one thousand, four hundred forty".