46452061440 has 360 divisors, whose sum is σ = 170720337480. Its totient is φ = 12051431424.

The previous prime is 46452061433. The next prime is 46452061493. The reversal of 46452061440 is 4416025464.

46452061440 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 206 + 1 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29167174656 + 17284886784 = 170784^2 + 131472^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46452061395 and 46452061404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3830106 + ... + 3842214.

Almost surely, 2^46452061440 is an apocalyptic number.

46452061440 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 46452061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85360168740).

46452061440 is an abundant number, since it is smaller than the sum of its proper divisors (124268276040).

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

46452061440 is a wasteful number, since it uses less digits than its factorization.

46452061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12179 (or 12156 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 46452061440 in words is "forty-six billion, four hundred fifty-two million, sixty-one thousand, four hundred forty".