46654755840 has 1056 divisors, whose sum is σ = 209440917504. Its totient is φ = 9674588160.

The previous prime is 46654755809. The next prime is 46654755841. The reversal of 46654755840 is 4855745664.

46654755840 is a `hidden beast` number, since 4 + 6 + 6 + 5 + 47 + 558 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46654755841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95800077 + ... + 95800563.

Almost surely, 2^46654755840 is an apocalyptic number.

46654755840 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 46654755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104720458752).

46654755840 is an abundant number, since it is smaller than the sum of its proper divisors (162786161664).

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

46654755840 is a wasteful number, since it uses less digits than its factorization.

46654755840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 46654755840 in words is "forty-six billion, six hundred fifty-four million, seven hundred fifty-five thousand, eight hundred forty".