46653124461552 has 240 divisors, whose sum is σ = 155812655164320. Its totient is φ = 13326232485888.

The previous prime is 46653124461439. The next prime is 46653124461571. The reversal of 46653124461552 is 25516442135664.

46653124461552 is a `hidden beast` number, since 4 + 6 + 6 + 5 + 3 + 1 + 24 + 4 + 61 + 552 = 666.

46653124461552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87730288 + ... + 88260464.

It is an arithmetic number, because the mean of its divisors is an integer number (649219396518).

Almost surely, 2^{46653124461552} is an apocalyptic number.

46653124461552 is a gapful number since it is divisible by the number (42) 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 46653124461552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77906327582160).

46653124461552 is an abundant number, since it is smaller than the sum of its proper divisors (109159530702768).

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

46653124461552 is a wasteful number, since it uses less digits than its factorization.

46653124461552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534365 (or 534346 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 46653124461552 in words is "forty-six trillion, six hundred fifty-three billion, one hundred twenty-four million, four hundred sixty-one thousand, five hundred fifty-two".