46061455641600 has 528 divisors, whose sum is σ = 178227023740416. Its totient is φ = 10271539200000.

The previous prime is 46061455641527. The next prime is 46061455641601. The reversal of 46061455641600 is 614655416064.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46061455641600.

It is not an unprimeable number, because it can be changed into a prime (46061455641601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20996725 + ... + 23086475.

Almost surely, 2^{46061455641600} is an apocalyptic number.

46061455641600 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 46061455641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89113511870208).

46061455641600 is an abundant number, since it is smaller than the sum of its proper divisors (132165568098816).

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

46061455641600 is a wasteful number, since it uses less digits than its factorization.

46061455641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089832 (or 2089809 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 46061455641600 in words is "forty-six trillion, sixty-one billion, four hundred fifty-five million, six hundred forty-one thousand, six hundred".