46049783040 has 864 divisors, whose sum is σ = 177742446336. Its totient is φ = 11386552320.

The previous prime is 46049783033. The next prime is 46049783051. The reversal of 46049783040 is 4038794064.

46049783040 is a `hidden beast` number, since 4 + 604 + 9 + 7 + 8 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

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, 293310642 + ... + 293310798.

It is an arithmetic number, because the mean of its divisors is an integer number (205720424).

Almost surely, 2^46049783040 is an apocalyptic number.

46049783040 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 46049783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88871223168).

46049783040 is an abundant number, since it is smaller than the sum of its proper divisors (131692663296).

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

46049783040 is a wasteful number, since it uses less digits than its factorization.

46049783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 46049783040 in words is "forty-six billion, forty-nine million, seven hundred eighty-three thousand, forty".