48461954151840 has 96 divisors (see below), whose sum is σ = 152657063911296. Its totient is φ = 12923026222080.

The previous prime is 48461954151827. The next prime is 48461954151847. The reversal of 48461954151840 is 4815145916484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×48461954151840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (48461954151847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40610734 + ... + 41787026.

It is an arithmetic number, because the mean of its divisors is an integer number (1590177749076).

Almost surely, 2^{48461954151840} is an apocalyptic number.

48461954151840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48461954151840 is an abundant number, since it is smaller than the sum of its proper divisors (104195109759456).

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

48461954151840 is a wasteful number, since it uses less digits than its factorization.

48461954151840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262142 (or 1262134 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 60.

The spelling of 48461954151840 in words is "forty-eight trillion, four hundred sixty-one billion, nine hundred fifty-four million, one hundred fifty-one thousand, eight hundred forty".