46435078144 has 351 divisors, whose sum is σ = 120214531647. Its totient is φ = 17873436672.

The previous prime is 46435078141. The next prime is 46435078147. The reversal of 46435078144 is 44187053464.

The square root of 46435078144 is 215488.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (46435078141) and next prime (46435078147).

It can be written as a sum of positive squares in 4 ways, for example, as 192876544 + 46242201600 = 13888^2 + 215040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 46435078094 and 46435078103.

It is not an unprimeable number, because it can be changed into a prime (46435078141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1255002094 + ... + 1255002130.

Almost surely, 2^46435078144 is an apocalyptic number.

46435078144 is the 215488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46435078144

46435078144 is an abundant number, since it is smaller than the sum of its proper divisors (73779453503).

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

46435078144 is an equidigital number, since it uses as much as digits as its factorization.

46435078144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 46435078144 in words is "forty-six billion, four hundred thirty-five million, seventy-eight thousand, one hundred forty-four".