48070124001 has 45 divisors (see below), whose sum is σ = 76334224681. Its totient is φ = 30140598528.

The previous prime is 48070123987. The next prime is 48070124083. The reversal of 48070124001 is 10042107084.

The square root of 48070124001 is 219249.

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

48070124001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17835869601 + 30234254400 = 133551^2 + 173880^2 .

It is not a de Polignac number, because 48070124001 - 2⁹ = 48070123489 is a prime.

It is a super-3 number, since 3×48070124001³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48070124701) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33544381 + ... + 33545813.

Almost surely, 2^48070124001 is an apocalyptic number.

48070124001 is the 219249-th square number.

48070124001 is the 109625-th centered octagonal number.

It is an amenable number.

48070124001 is a deficient number, since it is larger than the sum of its proper divisors (28264100680).

48070124001 is an frugal number, since it uses more digits than its factorization.

48070124001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 48070124001 in words is "forty-eight billion, seventy million, one hundred twenty-four thousand, one".