541187509248 has 176 divisors, whose sum is σ = 1603603751520. Its totient is φ = 180298137600.

The previous prime is 541187509231. The next prime is 541187509319. The reversal of 541187509248 is 842905781145.

541187509248 is a `hidden beast` number, since 5 + 4 + 11 + 87 + 509 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 541187509194 and 541187509203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65825778 + ... + 65833998.

Almost surely, 2^541187509248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541187509248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801801875760).

541187509248 is an abundant number, since it is smaller than the sum of its proper divisors (1062416242272).

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

541187509248 is a wasteful number, since it uses less digits than its factorization.

541187509248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10631 (or 10607 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 541187509248 in words is "five hundred forty-one billion, one hundred eighty-seven million, five hundred nine thousand, two hundred forty-eight".