46387276461120 has 1792 divisors, whose sum is σ = 181688500224000. Its totient is φ = 9804601884672.

The previous prime is 46387276461103. The next prime is 46387276461187. The reversal of 46387276461120 is 2116467278364.

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, 96841913041 + ... + 96841913519.

It is an arithmetic number, because the mean of its divisors is an integer number (101388672000).

Almost surely, 2^{46387276461120} is an apocalyptic number.

46387276461120 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 46387276461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90844250112000).

46387276461120 is an abundant number, since it is smaller than the sum of its proper divisors (135301223762880).

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

46387276461120 is a wasteful number, since it uses less digits than its factorization.

46387276461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 46387276461120 in words is "forty-six trillion, three hundred eighty-seven billion, two hundred seventy-six million, four hundred sixty-one thousand, one hundred twenty".