46349701632360 has 384 divisors, whose sum is σ = 178062905180160. Its totient is φ = 10232077248000.

The previous prime is 46349701632347. The next prime is 46349701632389. The reversal of 46349701632360 is 6323610794364.

It is a happy number.

46349701632360 is a `hidden beast` number, since 4 + 6 + 34 + 97 + 0 + 163 + 2 + 360 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46349701632297 and 46349701632306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38704585 + ... + 39884135.

It is an arithmetic number, because the mean of its divisors is an integer number (463705482240).

Almost surely, 2^{46349701632360} is an apocalyptic number.

46349701632360 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 46349701632360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89031452590080).

46349701632360 is an abundant number, since it is smaller than the sum of its proper divisors (131713203547800).

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

46349701632360 is a wasteful number, since it uses less digits than its factorization.

46349701632360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180109 (or 1180102 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 46349701632360 in words is "forty-six trillion, three hundred forty-nine billion, seven hundred one million, six hundred thirty-two thousand, three hundred sixty".