1948101313536 has 891 divisors, whose sum is σ = 6863795374527. Its totient is φ = 530606039040.

The previous prime is 1948101313447. The next prime is 1948101313583. The reversal of 1948101313536 is 6353131018491.

The square root of 1948101313536 is 1395744.

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

1948101313536 is a `hidden beast` number, since 1 + 9 + 4 + 8 + 101 + 3 + 1 + 3 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1948101313491 and 1948101313500.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29076138975 + ... + 29076139041.

Almost surely, 2^{1948101313536} is an apocalyptic number.

1948101313536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1948101313536 is the 1395744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948101313536

1948101313536 is an abundant number, since it is smaller than the sum of its proper divisors (4915694060991).

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

1948101313536 is an equidigital number, since it uses as much as digits as its factorization.

1948101313536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1948101313536 in words is "one trillion, nine hundred forty-eight billion, one hundred one million, three hundred thirteen thousand, five hundred thirty-six".