46340290281600 has 1728 divisors, whose sum is σ = 205560747288000. Its totient is φ = 9710121369600.

The previous prime is 46340290281599. The next prime is 46340290281641. The reversal of 46340290281600 is 618209204364.

46340290281600 is a `hidden beast` number, since 4 + 6 + 34 + 0 + 2 + 9 + 0 + 2 + 8 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3681008106 + ... + 3681020694.

Almost surely, 2^{46340290281600} is an apocalyptic number.

46340290281600 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 46340290281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102780373644000).

46340290281600 is an abundant number, since it is smaller than the sum of its proper divisors (159220457006400).

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

46340290281600 is a wasteful number, since it uses less digits than its factorization.

46340290281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12707 (or 12656 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 46340290281600 its reverse (618209204364), we get a palindrome (46958499485964).

The spelling of 46340290281600 in words is "forty-six trillion, three hundred forty billion, two hundred ninety million, two hundred eighty-one thousand, six hundred".