148895441961984 has 693 divisors, whose sum is σ = 463134112259637. Its totient is φ = 47821973004288.

The previous prime is 148895441961941. The next prime is 148895441962019. The reversal of 148895441961984 is 489169144598841.

It is a happy number.

The square root of 148895441961984 is 12202272.

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

148895441961984 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 9 + 5 + 4 + 419 + 6 + 198 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78077158032384 + 70818283929600 = 8836128^2 + 8415360^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 305740126989 + ... + 305740127475.

Almost surely, 2^{148895441961984} is an apocalyptic number.

148895441961984 is the 12202272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148895441961984

148895441961984 is an abundant number, since it is smaller than the sum of its proper divisors (314238670297653).

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

148895441961984 is an frugal number, since it uses more digits than its factorization.

148895441961984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 521 counting only the distinct ones).

The product of its digits is 2866544640, while the sum is 81.

148895441961984 divided by its sum of digits (81) gives a square (1838215332864 = 1355808²).

The spelling of 148895441961984 in words is "one hundred forty-eight trillion, eight hundred ninety-five billion, four hundred forty-one million, nine hundred sixty-one thousand, nine hundred eighty-four".